Unit 8 Practice Test

Decide the axis of symmetry and the vertex of the function f(x) = 3(x − 4)² + 5.

• AOS: x = 4 and Vertex: (4, 5)

• AOS: x = −4 and Vertex: (−4, 5)

• AOS: x = 4 and Vertex: (4, −5)

• AOS: x = 5 and Vertex: (5, 4)

What are the x-intercepts of the function f(x) = (x − 1)² − 25?

• (6, 0) and (−4, 0)

• (6, 0)

• (6, 0) and (4, 0)

• (26, 0) and (−24, 0)

Put f(x) = x² − 10x + 15 into vertex form.

• f(x) = (x − 5)² − 10

• f(x) = (x − 5)² + 10

• f(x) = (x + 5)² − 10

• f(x) = (x − 5)² + 15

Which of the following quadratic equations have no real solutions?

• −9x² = x + 8

• 7x² + 8x + 10 = 0

• 3x² + 3 = −6x

• 6x² − x − 5 = 0

If a quadratic equation has 1 real solution, which of the following is true?

• The discriminant is zero.

• The discriminant is positive.

• The discriminant is negative.

Solve 4x² + 2 = 50.

• x = ±2√3

• x = 2√3

• x = ±4√3

• x = ±√3

Create the vertex form of the parabola.

• f(x) = (x − 1)² + 9

• f(x) = (x + 1)² + 9

• f(x) = −(x − 1)² + 9

• f(x) = −(x + 1)² + 9

Solve 4x² − 40x − 28 = 0 by completing the square.

• x = −5 ± 4√2

• x = 5 ± 4√2

• x = 5 ± 2√2

• x = −5 ± 2√2

Use the quadratic formula solve

5x² − 8 = 4x.

• x = (2 ± 2√11) ⁄ 5

• x = (−2 ± 2√11) ⁄ 5

• x = 8 ⁄ 5 and x = −4 ⁄ 5

• No real solutions

Graph the function

f(x) = 3x² − 18x + 15.

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