Determine an equation of the parabola with the vertex at (-2, 5) and passes through the point (-3, 7)

Answer 1

Note: The standard form of a parabola is y=a(x−h)²+k , in which the (h,k) is the vertex. This problem given the vertext (-2,5) , which mean h=-2,k=5

Passes through the point (-3,7) , which mean that x=-3,y=7

When plug in h and k we have an equation y = a(x+2)² + 5

We need to find a. We can plug in x and y in the equation.

that gives us 7 = a(-3+2)² + 5

7 = a +5

a = 2

So the equation is y = 2(x+2)² + 5