4.which of the following are most likely factors of the function graphed above?
a. (x+1)(x-5)
b. (x)(x-5)
c. (x-1)(x+5)
d. (x)(x+5)

5.what is the solution to the following equation?
x^2-10x+24=0
a. x=3 or x=8
b. x=-3 or x=-8
c. x=4 or x=6
d. x=-4 or x=-6

the equation of the graph is represented by a parabola:

(x + 2)^2 = y +9

Simplify

X^2 + 4x + 4 = y +9

Y = x^2 + 4x + 4 – 9

Y = x^2 + 4x -5

Y = (x+5) ( x -1)

5.  x^2 – 10x + 24 = 0

(x -6) ( x - 4) =0

X = 6

X = 4 

The question is not complete, fortunately, I found a match:

Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. he originally planned for the length of the pool to be 40 m but decided to change it to 32 m. if the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?

one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

one cm represented 40 m in the first scale, but now 1 cm represents 32 m in the second scale.

one cm represented 1 m in the first scale, but now 1 cm represents 5 ft in the second scale.

one cm represented 4 m in the first scale, but now 1 cm represents 5 m in the second scale.

one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

Step-by-step explanation:

To calculate the scaling factor, we will divide the actual figure by the figure in the scale.

Before the change: 8cm in the drawing represents 40m

8cm ≡ 40m

∴ 1cm ≡ 40 ÷ 8 = 5m

∴ 1 cm represents 5m

After the change: 8cm in the drawing represents 32m

8cm ≡ 32m

∴ 1cm ≡ 32 ÷ 8 = 4

∴ 1cm represents 4m

Therefore, one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.