Question

What are the coordinates of the vertex of the parabola described by theequation below?y = 7(x + 5)2 - 4A. (5, 4)B. (-4,5)C. (4,-5)D. (-5, -4)

Answer 1

D. (-5, -4)

Step-by-step explanation:

Given a parabola, the vertex form of the equation of the parabola is:

`\begin{gathered} f(x)=a(x-h_{})^2+k \\ \text{where (h,k) is the vertex of the parabola} \end{gathered}`

From the equation of the parabola given:

`\begin{gathered} y=7(x+5)^2-4 \\ h=-5 \\ k=-4 \end{gathered}`

Therefore, the coordinates of the vertex of the parabola described by the

given equation is:

`(h,k)=(-5,-4)`

The correct choice is D.