Help sir! Thank you, Mr Thompson

Problem 1

To find the y intercept, plug in x = 0 and simplify

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

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

f(0) = (-2)*(4)

f(0) = -8

We have x = 0 pair up with y = -8

The y intercept is (0,-8)

Choice D

Problem 2

(x-2)(x+4) is the same as x^2+2x-8 after using the FOIL rule. The distributive property is an alternate option.

The leading coefficient of x^2+2x-8 is 1. Since this leading coefficient is positive, it tells us that the parabola opens upward.

C) Parabola opens upward

Problem 3

Answers:

Explanation:

Note that 1-x^2 is the same as -x^2+1 and this has a negative leading coefficient. So the parabola opens downward. That must mean curve C matches with function g(x).

Both f(x) and h(x) have the same leading term of x^2. However, the constant terms are different. Because f(x) has a smaller constant (-4 is smaller than 4) this makes curve B to be f(x), while curve A is h(x). The larger the constant is, the further shifted up the curve will be.

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.