Question

The graph represents a quadratic function. Write the function in vertex form.

Answer 1

y=3(x+3)^2-8

Explanation:

Vertex form:

y=a(x-h)^2+k

h=-3, k=-8

y=a(x+3)^2-8

sub (-4,-5)

-5=a(-4+3)^2-8

a=3

y=3(x+3)^2-8

Answer 2

The quadratic equation shown in the graph is y = 3*(x + 3)² - 8

Howto write the quadratic equation?

A quadratic equation with a vertex (h, k) and a leading coefficient a, can be written as:

y = a*(x - h)² + k

Here the vertex is (-3, -8), then we can write:

y = a*(x + 3)² - 8

Now, notice that the graph also contains the point (-4, -5), replacing these values we will get:

-5 = a*(-4 + 3)² - 8

-5 = a - 8

-5 + 8 = a

3 = a

The equation is:

y = 3*(x + 3)² - 8