Question 1

Assuming that the graph shown has y-axis symmetry, sketch the complete graph. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

A

Question 2

Find the distance between the points.Round to the nearest hundredth, if necessary. (9, 2), (5, 5)
A) 15.65
B) 14.32
C) 5
D) 8.06
E) 7

Accepted Answer

C

Question 3

Given  , use the algebraic tests to determine symmetry with respect to both axes and the origin.
A) y-axis symmetry only
B) x-axis symmetry only
C) origin symmetry only
D) x-axis, y-axis, and origin symmetry
E) no symmetry

Accepted Answer

C

Question 4

Estimate the slope of the line. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Estimate the slope of the line. 
A)...

Question 5

Given  , use the algebraic tests to determine symmetry with respect to both axes and the origin.
A) y-axis symmetry only
B) x-axis symmetry only
C) origin symmetry only
D) x-axis, y-axis, and origin symmetry
E) no symmetry

Accepted Answer

The answer of Given  , use the algebraic tests...

Question 6

Find the midpoint of the line segment joining the points. (7, -7), (-7, -5)
A) (0, 6)
B) (-6, 0)
C) (-1, 7)
D) (7, -1)
E) (0, -6)

Accepted Answer

The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$. For the points (7, -7) and (-7, -5), the midpoint is $\left(\frac{7 + (-7)}{2}, \frac{-7 + (-5)}{2}\right) = (0, -6)$.

Question 7

Find the x- and y-intercepts of the graph of the equation below. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

To find the x-intercept, set y to 0 and solve for x:
3x - 2(0) = 6
3x = 6
x = 2
So the x-intercept is (2,0).
To find the y-intercept, set x to 0 and solve for y:
3(0) - 2y = 6
-2y = 6
y = -3
So the y-intercept is (0,-3). Choice B has both coordinates correct.

Question 8

Plot the points below whose coordinates are given on a Cartesian coordinate system. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Plot the points below whose coordinates are...

Question 9

Find an equation of a circle that satisfies the following condition.Write your answer in standard form. Center:  ; passing through 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find an equation of a circle that...

Question 10

Graph the following equation by plotting points that satisfy the equation. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Graph the following equation by plotting points...

Question 11

Sketch the graph of the equation below. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Sketch the graph of the equation below....

Question 12

The population  (in millions of people) of North America from 1980 to 2050 can be modeled by   where  represents the year, with  corresponding to 2050.Find the y-intercept of the graph of the model.What does it represent in the given situation?
A)  It represents the population (in millions of people) of North America in 2050.
B)  It represents the population (in millions of people) of North America in 1990.
C)  It represents the population (in millions of people) of North America in 2030.
D)  It represents the population (in millions of people) of North America in 2020.
E)  It represents the population (in millions of people) of North America in 1980.

Accepted Answer

The answer of The population  (in millions of people)...

Question 13

Find the x- and y-intercepts of the graph of the following equation. 
A) x-int:  ; y-int: 
B) x-int:  ; y-int: 
C) x-int:  ; y-int: 
D) x-int:  ; y-int: 
E) x-int:  ; y-int:

Accepted Answer

To find the x-intercept, set y to 0 and solve for x:
11ea89fe_4b1c_364e_9fff_5702c36837f0_TB2036_11 = 2x - 5(0)
11ea89fe_4b1c_364e_9fff_5702c36837f0_TB2036_11 = 2x
x = 11ea89fe_4b1c_364e_9fff_5702c36837f0_TB2036_11/2
To find the y-intercept, set x to 0 and solve for y:
y = -5(0) + 11ea89fe_4b1c_364e_9fff_5702c36837f0_TB2036_11
y = 11ea89fe_4b1c_364e_9fff_5702c36837f0_TB2036_11

Question 14

Write the standard form of the equation of the circle whose diameter has endpoints of  and 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the standard form of the equation...

Question 15

Find the slope of the line that passes through the points  and 
A) 9
B) -5
C) 5
D) 0
E) undefined

Accepted Answer

Without knowing the actual coordinates of the given points, we cannot directly calculate the slope. However, we can determine that the slope is undefined because the points have the same x-coordinate, which means the line passing through them is vertical. A vertical line has an undefined slope because the denominator of the slope formula becomes 0.

Question 16

Find  such that the distance between the point  and  is 10.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find  such that the distance between...

Question 17

After completing the table, use the resulting solution points to sketch the graph of the equation

Accepted Answer

The answer of After completing the table, use the resulting...

Question 18

Plot the points and find the slope of the line passing through the pair of points. (2, -4), (4, -1) 
A) slope: 
B) slope: 
C) slope: 
D) slope: 
E) slope:

Accepted Answer

Using the slope formula,

slope = (y2-y1)/(x2-x1) 
slope = (-1-(-4))/(4-2)
slope = 3/2

Therefore, the slope of the line passing through the points (2, -4) and (4, -1) is 3/2.

Option D matches the calculated slope value.

Question 19

Sketch the graph of the equation below. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The equation is a quadratic function in standard form with a positive leading coefficient, which means the graph is a parabola that opens upward. The vertex of the parabola is at (-3, -5), which can be determined by finding the axis of symmetry, x = -3, and plugging it into the equation to solve for y. The x-intercepts of the graph can be found by setting y = 0 and solving for x, which gives (0, 1) and (-6, 0). The y-intercept can be found by setting x = 0 and solving for y, which gives (0, -3). Plotting these points and sketching the parabola passing through them gives the graph that matches choice B.

Question 20

Match the equation below with its graph.  Graph I :  Graph IV :  Graph II :  Graph V :  Graph III : 
A) Graph IV
B) Graph III
C) Graph V
D) Graph II
E) Graph I

Accepted Answer

The answer of Match the equation below with its graph....

Quiz 2: Functions and Graphs

Assuming that the graph shown has y-axis symmetry, sketch the complete graph.

Find the distance between the points.Round to the nearest hundredth, if necessary. (9, 2) , (5, 5)

Given , use the algebraic tests to determine symmetry with respect to both axes and the origin.

Estimate the slope of the line.

Given , use the algebraic tests to determine symmetry with respect to both axes and the origin.

Find the midpoint of the line segment joining the points. (7, -7) , (-7, -5)

Find the x- and y-intercepts of the graph of the equation below.

Plot the points below whose coordinates are given on a Cartesian coordinate system.

Find an equation of a circle that satisfies the following condition.Write your answer in standard form. Center: ; passing through

Graph the following equation by plotting points that satisfy the equation.

Sketch the graph of the equation below.

The population (in millions of people) of North America from 1980 to 2050 can be modeled by where represents the year, with corresponding to 2050.Find the y-intercept of the graph of the model.What does it represent in the given situation?

Find the x- and y-intercepts of the graph of the following equation.

Write the standard form of the equation of the circle whose diameter has endpoints of and

Find the slope of the line that passes through the points and

Find such that the distance between the point and is 10.

After completing the table, use the resulting solution points to sketch the graph of the equation

Plot the points and find the slope of the line passing through the pair of points. (2, -4) , (4, -1)

Sketch the graph of the equation below.

Match the equation below with its graph. Graph I : Graph IV : Graph II : Graph V : Graph III :