Algebra: Test 4-1

Consider the equation y = 𝑥² + 3x – 4. What are the domain and range of the function?

• D: {all real numbers}

  R: {all real numbers}

• D: {x | x ≤ –1.5}

  R: {y | y ≥ –6.25}

• D: {all real numbers}

  R: {y | y ≥ –6.25}

• D: {all real numbers}

  R: {y | y ≤ 0}

What is the equation of the axis of symmetry of the graph of y = 𝑥² + 6x – 7?

• x = 6

• x = –3

• x = 3

• x = –6

Find the coordinates of the vertex of the graph of y = 4 – 𝑥² Identify the vertex as a maximum or a minimum point.

• (2, 0); maximum

• (0, 4); maximum

• (0, 4); minimum

• (2, 0); minimum

Which appear to be the roots of the quadratic equation whose related function is graphed above?

• x = –1, 3

• x = –3, 1

• x = –1, 1

• x = 1, 3

One root of the quadratic equation whose related function is graphed lies between which two consecutive integers?

• 1 and 2

• 0 and –1

• 2 and 3

• 0 and 1

Which equation corresponds to the graph shown?

• y = 𝑥² + 1

• y = 𝑥² – 1

• y = –𝑥² – 1

• y = 𝑥²

Tags

CCSS.HSF-IF.C.7A

Describe how the graph of the function g(x) = –𝑥² – 2 is related to the graph of the function f(x) = 𝑥² .

• reflected over the x-axis

• translation of f(x) = 𝑥² down 2 units

• translation of f(x) = 𝑥² right 2 units

• translation of f(x) = 𝑥² left 2 units

• translation of f(x) = 𝑥² up 2 units

Solve the equation 2x² + 3x – 5 = 0 by using the Quadratic Formula.

• x = –2.5 , 1

• x = –5, 1

• x= –1, 2.5

• x = –1, 5

Tags

CCSS.HSA-REI.B.4B

State the value of the discriminant for y = 𝑥² – 8x + 10

• 4.9

• 24

• 104

• 10.2

Tags

CCSS.HSA-REI.B.4B

Determine the number of real solutions of 𝑛² – 5n – 6 = 0

• 1 real solution

• infinitely many real solutions

• 2 real solutions

• no real solutions

Tags

CCSS.HSA-REI.B.4B