Answer:
Vertex = (-3, 80)
Step-by-step 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. :)
