Question

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

Answer 1

y = [-3](x - [0])² + [0]

Explanation:

The general for is:

y = a(x - h)² + k

where (h, k) is the vertex

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

so, y = a(x - 0)² + 0

y = ax²

The point plotted in the picture is : (1, -3)

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

⇒ -3 = a(1²)

⇒ a = -3

Therefoe, the parabola equation is:

y = -3x²

y = -3(x - 0)² + 0