Question

Find the vertex of the parabola with the equation y= -5x^2-30x+35

Answer 1

Vertex = (-3, 80)

Explanation:

The given equation y = -5x^2 -30x + 35

Here we have to use the formula to find the x-coordinate of the vertex.

x = -b/2a

From the given equation, the value of a = -5, b = -30 and c = 35

Now plug in these values into the above formula, we get

x = -(-30)/2(-5)

x = 30/-10

x = -3

Now plug in x = -3 in the given equation and find the value of y-coordinate.

y = -5(-3)^2 - 30 (-3) + 35

y = -5(9) + 90 + 35

y = -45 + 90 +35

y = -45 + 125

y = 80

Therefore, the vertex of the given equation is (-3, 80).

Thank you. :)