FINAL Finals Review

What is the vertex of this quadratic equation?

y = 2(x + 2)² + 5

• (-2,5)

• (2,5)

• (5,-2)

• (-5,-2)

Answer explanation

The vertex is the highest or lowest point of a parabola.

What is the y-intercept of this parabola?

• (−1, 3)
• (−3, 11)
• (−2, 5)
• (0, 5)

Answer explanation

The y-intercept of a graph is the point where the graph crosses the y-axis. A y-intercept will always have an x value equal to 0.

Where is the axis of symmetry for this parabola?

• x = −1

• x = 0

• y = 3

• x = −3

Answer explanation

The axis of symmetry for the parabola is x = -1 because it is the line that divides the parabola into two symmetrical halves.

What do we call the graph of a quadratic function?

• parabola

• linear

• cubic

• sinusoidal

Answer explanation

The graph of a quadratic function is called a parabola.

What is the vertex?

• (0, - 1)
• (0, 0.5)
• (-1, 0)
• (0.5, 0)

Answer explanation

The vertex is the highest or lowest point of a parabola.

What is the green dashed line called?

• roots or x-intercepts
• parabola
• axis of symmetry
• line of dashes

Answer explanation

The axis of symmetry is the vertical line that cuts through the vertex of a parabola. It's equation is always x = a number

Factor
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Answer explanation

To factor x^2 + 9x - 36, find two numbers that multiply to -36 and add up to 9. The numbers are 12 and -3, so the factors are (x + 12)(x - 3).

Factor: x² + 2x – 3

• (x - 2)(x + 1)
• (x + 1)(x - 3)
• (x + 2)(x - 1)
• (x - 1)(x + 3)

Answer explanation

Factor using an x-puzzle! Or use the box method to multiply the terms in parentheses to test out your four answer options.

Factor:
x² + 5x - 24

• (x - 8)(x + 3)
• (x + 8)(x - 3)
• (x + 6)(x - 4)
• (x + 12)(x - 2)

Answer explanation

Factor using an x-puzzle! Or use the box method to multiply the terms in parentheses to test out your four answer options.

Factor:
x² - 10x + 24

• (x - 6)(x - 4)

• (x + 6)(x + 4)

• (x - 12)(x + 2)

• (x - 8)(x - 3)

Answer explanation

To factor x^2 - 10x + 24, find two numbers that multiply to 24 and add up to -10. The numbers are -6 and -4, so the factors are (x - 6)(x - 4).