# algebra1 part 2

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 1 options:
 translation up 7 units dilation compressed vertically translation down 7 units reflection

## Question 2 (5 points)

Write the equation of the axis of symmetry.

y = 3
x
2 + 9
x – 5

Question 2 options:
 x = –3 x = x = –2 x =

## 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 3 options:
 –216, 0 real roots 24, 2 real roots –226, 2 real roots –272, 0 real roots

## Question 4 (5 points)

Solve the equation by graphing.

Question 4 options:
 –2, 0 –1 2, 0 –2, 4

## Question 5 (5 points)

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

h(
x) =

x
2

Question 5 options:
 translation up unit translation down unit dilation compressed vertically dilation stretched vertically

## 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 6 options:
 The function has a minimum value. The minimum value of the function is –31.5. The function has a maximum value. The maximum value of the function is 18.5. The function has a maximum value. The maximum value of the function is –31.5. The function has a minimum value. The minimum value of the function is 18.5.

## Question 7 (5 points)

Solve the equation.

15
x
2 – 28
x + 5 = 0

Question 7 options:
 {, } {5, } {–3, –25} {3, 25}

## Question 8 (5 points)

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

h(
x) = –

x
2

Question 8 options:
 dilation compressed vertically and reflected across the x-axis dilation stretched vertically and reflected across the x-axis translation up units translation down units

## Question 9 (5 points)

Given that f(x) = 5x2 + 2x – 3, g(x) = 6x – 3, and h(x) = 2x + 9 find each function.

(
f
g)(
x)

Question 9 options:
 30x3 – 3x2 – 24x + 9 15x3 – 3x2 – 24x + 9 30x3 + 24x2 – 18x + 9 15x3 – 3x2 + 24x – 9

## Question 10 (5 points)

Given that f(x) = x2 – 7x – 1, g(x) = 2x – 3, and h(x) = 4x – 5 find each function.

(
f +
g)(
x)

Question 10 options:
 x2 – 5x – 4 x2 – 11x + 4 x2 – 3x – 6 x2 – 5x – 6

## Question 11 (5 points)

Write the equation of the axis of symmetry.

y = –8 – 4
x – 3
x
2

Question 11 options:
 x = x = x = x =

## Question 12 (5 points)

Given that f(x) = x2 + 6x – 2, g(x) = x – 7, and h(x) = x + 4 find each function.

(
g
f)(
x)

Question 12 options:
 –x2 – 5x – 5 x2 + 5x + 5 –x2 + 5x + 5 x2 – 5x – 5

## Question 13 (5 points)

Solve the equation by factoring.

25
d
3 – 36
d = 0

Question 13 options:
 {0, –, } {0, –, } {–, }

## Question 14 (5 points)

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

y = 5
x
2 – 7

Question 14 options:
 (0, –7) (0, ) (0, ) (7, 0)

## Question 15 (5 points)

Solve the equation by graphing.

Question 15 options:
 –3 –5, 0 6, 0 –5, –1

## Question 16 (5 points)

Solve the system of equations algebraically.

y = –
x
2 + 3
x – 3

x + y = –3

Question 16 options:
 (4, –7) and (0, –3) (–4, 7) and (0, 3) (–7, 4) and (3, 0) (4, 7) and (0, –3)

## Question 17 (5 points)

Solve the equation by graphing.

Question 17 options:
 –1 –2, 0 2, 0 –3, 1

## Question 18 (5 points)

Solve the equation by graphing.

Question 18 options:
 –1 2, 0 –5, 3 –3, 0

## Question 19 (5 points)

Solve the equation by graphing.

+ 5
+ 4

Question 19 options:
 1, 4 –4, –1 –2.5, –2.25 1, 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.

Question 20 options:
 –3 between –2 and –1 and between 1 and 2 between –2 and –3 and between –1 and 0 between –4 and –5 and between –2 and –1

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