Find a, b, and c for the function such that the graph of matches the graph below.

Question

Find a, b, and c for the function  such that the graph of  matches the graph below.

Quizplus · Accepted Answer

The given graph is a quadratic function with a positive leading coefficient, which means it opens upwards. In order to match this graph, the quadratic function must have a positive leading coefficient (a > 0). Moreover, the vertex of the parabola is at (-2, -1), this means that the equation for the function can be written in vertex form:
f(x) = a(x+2)^2 - 1
Substituting the point (1, 2) into the equation above, we get:
2 = a(1+2)^2 - 1
2 = a(9) - 1
a = 3/8
Therefore, the equation for the function is:
f(x) = (3/8)(x+2)^2 - 1
Which corresponds to choice (C) 11ec1854_fd83_695f_acfc_e771581e49af_TBX8702_11

Find A, B, and C for the Function Such