Question

Write the equation for the function graphed below.
f(x) =

Answer 1

The equation shown in the graph is y = (x + 1)² + 2

Which is the equation in the graph?

Here we have a parabola, remember that for a parabola with leading coefficient a, and vertex (h,k), the formula is:

y = a*(x - h)² + k

We can see that the vertex is at (-1, 2), then:

y = a*(x + 1)² + 2

And we also can see that the graph passes through (0, 3), replacing these values we will get:

3 = a*(0 + 1)² + 2

3 - 2 = a

1 = a

The equation is:

y = (x + 1)² + 2