The graph of a quadratic function contains the points
(1,9), (0, 0), and (-1,9). Shawn thinks the function
f(x) = x2 was vertically stretched by a factor of 9. Brielle
thinks the function f(x) = x2 was horizontally shrunk by a
factor of 3. Determine who is correct and explain why.

Shawn is correct.

Step-by-step explanation:

Let the quadratic function is g(x) = a(x - h)² + k

Here (h, k) is the vertex of the parabola.

Since this parabola passes through (0, 0), (1, 9) and (-1, 9), axis of symmetry is x = 0 and the vertex is (0, 0).

Therefore, equation of the parabola will be,

g(x) = a(x - 0)²+ 0

g(x) = ax²

for a point (1, 9) which lies on the graph,

9 = a(1)²

a = 9

g(x) = 9x² (here a > 1)

Therefore, f(x) is vertically stretched by a factor of 9 to form g(x).

Shawn is correct.

what is the graph

step-by-step explanation:

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step-by-step explanation: