What is the vertex in the following function? y = 3(x + 5)2 − 4 (5, -4) (-5, -4) (-15, -4) (-5, 4)

Question

owing function? y = 3(x + 5)^2 − 4

A.(5, -4)

B.(-5, -4)

C.(-15, -4)

D.(-5, 4)

Answer 1

Greetings! Lets solve this shall we ?

So, let the equation of a parabola yield f(x) = a(x - h)² + k, where the vertex is (h,k). Keep in mind that the negative in (x-h) is there by default as part of the formula. Then,

since the equation we have is y = 3(x + 5)² - 4 = 3(x - (-5))² + (-4), the vertex is (-5, -4)

I hope this helped!