Quadratics Characteristics Review

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 

What is the arrow pointing at? How can you use this value?

• The arrow is pointing at the y-intercept. The x-value is the axis of symmetry and the y-value of this point is equivalent to the maximum/minimum 

• The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum and the y-value is the axis of symmetry

• The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum

• The arrow is pointing at the vertex. The x-value is the axis of symmetry and the y-value is equivalent to the minimum/maximum

How many roots does this parabola have?

• 0

• 1

• 2

• 3

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Determine the interval in which this function is INCREASING.

• (-4, ∞)

• (-3, ∞)

• (∞, -3)

• (-∞, -4)

Determine the interval in which this function is DECREASING.

• (-3, ∞)

• (-3, ∞)

• (-∞, -4)

• (-∞, -3)

Determine the interval of this functions DOMAIN.

• (-∞, 2)

• No Solution

• (-∞, ∞)

• (-∞, 1)

Determine the interval of this functions RANGE.

• (-∞, 2)

• No Solution

• (-∞, ∞)

• (-∞, 1)

Determine the interval in which this function is INCREASING.

• (-∞, 2)

• (2, ∞)

• (2, -∞)

• (-∞, 1)

What is the vertex of this quadratic equation? y = 2(x - 2)² + 5

• (-2,5)

• (2,5)

• (5,-2)

• (-5,-2)