Question

Fill in the equation for this function:
4
y = [?](x-[])² +

Answer 1

y = 3(x - 0)² - 2

Explanation:

The general formula is:

y = a(x - h)² + k

where (h, k) is the vertex

we have (h, k) = (0, -2)

so, y = a(x - 0)² - 2

y = ax² - 2

The point plotted in the picture is : (-1, 1)

This point lies on the parabola and hence satisfies y = ax² -2

⇒ 1 = a(-1)² -2

⇒ a = 1 + 2

⇒ a = 3

Therefoe, the parabola equation is:

y = 3x² -2

y = 3(x - 0)² - 2