Chapter 3 Test - Algebra 5/6

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum
• opens up with a minimum
• opens down with a maximum
• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A

Determine the vertex of the parabola:
y = 5x² - 20x + 13

• (5, -7)
• (-2, -7)
• (2, -7)
• (-7, -2)

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8
• x=1
• x=-1
• x=2

Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)

Tags

CCSS.HSF-IF.C.7A

Write a quadratic equation given the x intercepts and one other point.

Put the steps together.

1. Find the factors.
2. Solve for a by substituting in the extra point.
3. Write the equation in factored form.

The roots of the function are (-3, 0) and (5, 0).

The point (4, -3) is also on the graph.

• y=4(x+3)(x-5)

• y=3/7(x-3)(x+5)

• y=-3(x-3)(x+5)

• y=3/7(x+3)(x-5)

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

• -4, -1, 3
• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

Tags

CCSS.HSF-IF.C.7C

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

• Left side: Rises  
   Right side: Rises
• Left Side:  Rises
  Right side: Falls
• Left side: Falls
  Right side: Rises
• Left side: Falls
  Right side: Falls

Write a 4th degree polynomial function with:
*a positive leading coefficient
*zeros: 9, 3, -2, 0

• y = x(x - 9)(x - 3)(x + 2)
• y = x(x + 9)(x + 3)(x - 2)
• y = -x(x - 9)(x - 3)(x + 2)
• y = -x(x + 9)(x + 3)(x - 2)

Tags

CCSS.HSA.APR.B.3

Divide using synthetic division:

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/x-2

• 2x² - 9x - 15 - 23/x-2

Tags

CCSS.HSA.APR.D.6

Divide.

• -3x² + 3x + 2
• x² - 3x - 2
• -3x² + 2
• x² + 3x + 2

Tags

CCSS.HSA.APR.D.6