(x + 8)^2 - 7 = 0(x+8)
2
−7=0

x = x

Step-by-step explanation:

I'm just gonna assume you meant to write it like this even though what you wrote makes no sense:

(x + 8)² - 7 = 0

(x + 8) 2  − 7 = 0

Since both equal zero, set them both equal to eachother and solve for x

(x + 8)² - 7 = (x + 8) 2  − 7

(x + 8)² = 2x + 16

(x + 8)(x + 8) = 2x + 16

x + 8 = x + 8

since both sides are equal, there are infinitely many solutions

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

pla·gia·rism

/ˈplājəˌrizəm/

learn to pronounce

noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation: