Question

The vertex of this parabola is at (-2,-3). When the x-value is -1, the y-value is -5. What is the coefficient of the squared expression in the parabola’s equation? A. 8 B. -8 C. -2 D. 2

Answer 1

Option C is correct

Explanation:

Given: vertex of this parabola is at (-2,-3)

To find: coefficient of the squared expression in the parabola’s equation if the x-value is -1, the y-value is -5

Solution:

The equation of parabola is of the form
`y=a(x-h)^2+k`

Here, a is the coefficient of the squared expression in the parabola’s equation.

Put
`(h,k)=(-2,-3)\,,\,(x,y)=(-1,-5)`

`-5=a(-1+2)^2-3\\-5+3=a(1)^2\\-2=a\\a=-2`

So, the coefficient of the squared expression in the parabola’s equation is
`-2`