The vertex of the graph of a function is (2, 0) and the y-intercept is (0, –4). which of the following could be the equation of the function? a. y=2x^2-8x-4 b. y=-2x^2+8x-4 c. y=x^2+4x-4 d. y=-x^2+4x-4

  D.  y = -x^2+4x-4

Step-by-step explanation:

The y-intercept is lower on the graph than the vertex, so the parabola opens downward. This means the coefficient of x^2 will be negative.

The vertex at (2, 0) means the equation will be of the form ...

  y = a(x -h)^2 +k . . . . . for (h, k) = (2, 0)

  y = a(x -2)^2 = a(x^2 -4x +4)

Substituting (x, y) = (0, -4), we find ...

  -4 = 4a

  -1 = a

So, the equation is ...

  y = -1(x^2 -4x +4)

  y = -x^2 +4x -4 . . . . . . matches selection D

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true