What is -8/25(x-25)^2 + 32 in the standard form?

(-8 (x + -35) (x - 15))/25

Step-by-step explanation:

Simplify the following:

32 - (8 (x - 25)^2)/25

Hint: | Put the fractions in 32 - (8 (x - 25)^2)/25 over a common denominator.

Put each term in 32 - (8 (x - 25)^2)/25 over the common denominator 25: 32 - (8 (x - 25)^2)/25 = 800/25 - (8 (x - 25)^2)/25:

800/25 - (8 (x - 25)^2)/25

Hint: | Combine 800/25 - (8 (x - 25)^2)/25 into a single fraction.

800/25 - (8 (x - 25)^2)/25 = (800 - 8 (x - 25)^2)/25:

(800 - 8 (x - 25)^2)/25

Hint: | Factor out the greatest common divisor of the coefficients of 800 - 8 (x - 25)^2.

Factor -8 out of 800 - 8 (x - 25)^2:

(-8 ((x - 25)^2 - 100))/25

Hint: | Write 100 as a square in order to express (x - 25)^2 - 100 as a difference of squares.

(x - 25)^2 - 100 = (x - 25)^2 - 10^2:

(-8 ((x - 25)^2 - 10^2))/25

Hint: | Factor the difference of two squares.

Factor the difference of two squares. (x - 25)^2 - 10^2 = ((x - 25) - 10) ((x - 25) + 10):

(-8(x - 25 - 10) (x - 25 + 10))/25

Hint: | Group like terms in x - 25 + 10.

Grouping like terms, x - 25 + 10 = x + (10 - 25):

(-8 x + (10 - 25) (x - 25 - 10))/25

Hint: | Evaluate 10 - 25.

10 - 25 = -15:

(-8 (x - 25 - 10) (x + -15))/25

Hint: | Group like terms in x - 25 - 10.

Grouping like terms, x - 25 - 10 = x + (-25 - 10):

(-8 x + (-25 - 10) (x - 15))/25

Hint: | Evaluate -25 - 10.

-25 - 10 = -35:

(-8 (x + -35) (x - 15))/25

the answer is c)8

step-by-step explanaction:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic