Exam #2 Review (Fall 2023)

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Find the vertex   y = x² - 6x + 5

• (-3, 8)

• (-3, - 10)

• (3, -4)

• (3, 5)

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum
• Minimum

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

In the graph, which root has a multiplicity of 2?

• -1

• -3

• -120

• 4

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

What is the leading coefficient of the graph?

• Positive

• Negative

If the graph of a function touches the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

Based on the end behavior which option best describes the leading term?

• negative coefficient, even degree

• negative coefficient, odd degree

• negative degree, odd coefficient

• negative degree, even coefficient

Identify the zeros.

• x=-2, x=-1, x=0

• x=-2, x=0

• x=-1, x=0, x=2

• x=-2, x=0, x=1