Select the graph of the function
$y = x ^ { 2 } - 5$ .
Compare the graph of this function with the graph of $y = x ^ { 2 }$
A) Horizontal stretch and vertical shift.
B) Horizontal stretch and vertical shift.
C) Horizontal stretch and vertical shift.
D) Horizontal stretch and vertical shift.
E) Horizontal stretch and vertical shift.

Question

Select the graph of the function 
$y = x ^ { 2 } - 5$ . 
Compare the graph of this function with the graph of $y = x ^ { 2 }$ 
A) Horizontal stretch and vertical shift. 
B) Horizontal stretch and vertical shift. 
C) Horizontal stretch and vertical shift. 
D) Horizontal stretch and vertical shift. 
E) Horizontal stretch and vertical shift.

Quizplus · Accepted Answer

The graph of $y = x^{2} - 5$ is obtained by taking the graph of $y = x^{2}$ and shifting it down 5 units. This is reflected in option C where we can see that the blue graph of $y = x^{2}-5$ is placed below the orange graph of $y = x^{2}$ by 5 units. Additionally, both graphs have the same shape, indicating that there is no horizontal stretching or shrinking. Therefore, option C is the best choice.

Select the Graph of the Function y=x2−5y = x ^ { 2 } - 5y=x2−5

Select the Graph of the Function $y = x ^ { 2 } - 5$