What are the vertext and x-intercept of the graph of y=(x+4)(x-2)? select one answer for the vertext and one for the x-intercepts

x-intercepts (-4, 0) and (2,0)

Vertex is ( - 1, -9)

Step-by-step explanation:

X- intercepts

y=0

(x+4)(x-2)=0

x = - 4, x =2 or at can be written as (-4, 0) and (2,0)

Vertex

y = (x+4)(x - 2) =x² -2x +4x - 8 = x² + 2x - 8²

y = x² + 2x - 8

To find vertex we need to write equation in vertex form by completing square.

y = x²+2x -8 = x² + 2*1*x + 1² - 1² - 8 = (x+1)² - 9

y = (x+1)² - 9

Vertex is ( - 1, -9).

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

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step-by-step explanation:

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