algebra1 part 2

Question Description

Question 1 (5 points)

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

g(x) = x² – 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 = 3x² + 9x – 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(7n + 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) = x²

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.

15x² – 28x + 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) = –x²

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 – 4x – 3x²

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.

25d³ – 36d = 0

Question 13 options:


	{0, –, }
	{0, –, }
	{–, }

Question 14 (5 points)

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

y = 5x² – 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 = –x² + 3x – 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.