Algebra 1, Chapter 9 Review

Consider the equation y = x² + 5x – 6. Determine whether the function has a maximum or minimum value. State the maximum of minimum value. What are the domain and range of the function?

• min.; 0

  D: {all real numbers}

  R: {all real numbers}

• min.; –12.25

  D: {all real numbers}

  R: {y | y ≥ –12.25}

• max.; 0

  D: {all real numbers}

  R: {y | y ≤ 0}

• max.; –12.25

  D: x | x ≤ 2.5

  R: {all real numbers}

Which equation corresponds to the graph shown?

• y = x² + 7x – 12

• y = x² – x – 12

• y = x² + 5x + 12

• y = x² + 12x – 1

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y = 2x² – 12x + 6.

• x = –3; (–3, 60)

• x = 3; (3, –12)

• x = –3; (–3, 78)

• x = 3; (3, 6)

Find the coordinates of the vertex of the graph of y = –2x² – 8. Identify the vertex as a maximum or a minimum point.

• (–2, –16); minimum

• (2, –16); maximum

• (–2, 8); maximum

• (0, –8); maximum

Which appears to be the root(s) of the quadratic equation whose

related function is graphed at the right?

• 2

• 3

• 0, 4

• –4, 0

How is the graph of g(x) = x² – 3 related to the graph of f(x) = x²?

• translated down 3 units

• translated up 3 units

• translated right 3 units

• translated left 3 units

Find the value of c that makes x² + 10x + c a perfect square trinomial.

• –25

• –5

• 10

• 25

What value of c makes x² + 24x + c a perfect square trinomial?

• 576

• 144

• 24

• 12

Which step is not performed in the process of solving n² – 12n – 10 = 0 by completing the square?

• Add 10 to each side.

• Add 36 to each side.

• Factor n² – 12n – 10 = 0.

• Take the square root of each side.

Which equation is equivalent to 2x² – 24x – 14 = 0?

• (x – 6)² = 50

• (x – 3)² = 13

• (x – 3)² = 20

• (x – 6)² = 43