I’m studying for my Algebra class and need an explanation.

## Question 1 (5 points)

*Describe how the graph of the function is related to the graph of .*

*g*(

*x*) =

*x*

^{2} – 7

## Question 2 (5 points)

*Write the equation of the axis of symmetry.*

*y* = 3

*x*

^{2} + 9

*x* – 5

## Question 3 (5 points)

*State the value of the discriminant. Then determine the number of real roots of the equation.*

*n*(7

*n* + 8) = –10

## Question 4 (5 points)

*Solve the equation by graphing.*

## Question 5 (5 points)

*Describe how the graph of the function is related to the graph of .*

*h*(

*x*) =

*x*

^{2}

## Question 6 (5 points)

*Determine whether the given function has a maximum or a minimum value. Then, find the maximum or minimum value of the function.*

–2

+ 10

6

## Question 7 (5 points)

*Solve the equation.*

15

*x*

^{2} – 28

*x* + 5 = 0

## Question 8 (5 points)

*Describe how the graph of the function is related to the graph of .*

*h*(

*x*) = –

*x*

^{2}

## Question 9 (5 points)

*Given that* f*(*x*) = 5*x* ^{2} + 2*x

*– 3,*g

*(*x

*) = 6*x

*– 3, and*h

*(*x

*) = 2*x

*+ 9 find each function.*

(

*f* •

*g*)(

*x*)

## Question 10 (5 points)

*Given that* f*(*x*) =* x^{2}*– 7*x *– 1,* g*(*x*) = 2*x *– 3, and* h*(*x*) = 4*x *– 5 find each function.*

(

*f* +

*g*)(

*x*)

## Question 11 (5 points)

*Write the equation of the axis of symmetry.*

*y* = –8 – 4

*x* – 3

*x*

^{2}

## Question 12 (5 points)

*Given that* f*(*x*) =* x^{2} *+ 6*x *– 2,* g*(*x*) = x – 7, and* h*(*x*) =* x *+ 4 find each function.*

(

*g* −

*f*)(

*x*)

## Question 13 (5 points)

*Solve the equation by factoring.*

25

*d*

^{3} – 36

*d* = 0

## Question 14 (5 points)

*Find the coordinates of the vertex of the graph of the function.*

*y* = 5

*x*

^{2} – 7

## Question 15 (5 points)

*Solve the equation by graphing.*

## Question 16 (5 points)

*Solve the system of equations algebraically.*

*y* = –

*x*

^{2} + 3

*x* – 3

*x* + *y* = –3

## Question 17 (5 points)

*Solve the equation by graphing.*

## Question 18 (5 points)

*Solve the equation by graphing.*

## Question 19 (5 points)

*Solve the equation by graphing.*

+ 5

+ 4

## Question 20 (5 points)

*Solve the equation by graphing. If integral roots cannot be found, estimate the roots by stating the consecutive integers between which the roots lie.*