Algebra I: Chapter 9 Review!

Consider the equation y = x² + 3x – 4. Determine whether the function has a maximum   or minimum value. State the maximum or minimum value. What are the domain and   range of the function?

• min (0,0)
  D: All Reals
  R: All Reals
• max.; (–1.5, –6.25)
  D: {x | x ≤ –1.5}
  R: {y | y ≥ –6.25}
• max.; (0, 0)
  D: {all real numbers}
  R: {y | y ≤ 0}
• min.; (–1.5, –6.25)
  D: {all real numbers}
  R: {y | y ≥ –6.25}

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 = -x² + 4 .

• (2,0)
• (0,4)
• (-2,0)
• (2,4)

What are the roots of the quadratic equation whose related   function is graphed at the right?

• -1, 3
• -3, 1
• -1, 1
• 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 = (x - 1)²

Describe how the graph of the function
g(x) = –3x² – 2
is   related to the graph of the function
f(x) = –3x.

• reflected over the x-axis and down 2 units
• down 2 units
• reflected over the x-axis and up 2 units
• up 2 units

Find the value of c that makes
 x² – 5x + c
a perfect square trinomial

• -12.25
• -6.25
• 6.25
• 10

Which value of c makes
 y² + 8y + c
a perfect square trinomial

• 4
• 16
• 64
• 8

Which equation is equivalent to
x² + 2x – 3 = 0

• (x+1)²=2
• (x-1)²=4
• (x-1)²=2
• (x+1)²=4