Graphing Quadratic Characteristics

Which of the following graphs appropriately marks the axis of symmetry?

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Tags

CCSS.HSF-IF.C.7A

Use the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

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

• (1,-4)

• (-3,1)

• (6,4)

• (-7,1)

Determine the interval in which this function is INCREASING.

• 4 < x < ∞

• -3 < x < ∞

• ∞ < x < -3

• -∞ < x < -4

Tags

CCSS.HSF-IF.C.7A

Determine the interval in which this function is DECREASING.

• -3 < x < ∞

• -3 < x < ∞

• -∞ < x < -4

• -∞ < x < -3

Determine the interval in which this function is INCREASING.

• -∞ < x < 2

• 2 < x < ∞

• 2 < x < -∞

• -∞ < x < 1

For what interval is the given function decreasing?

• -∞ < x < 0

• -∞ < x < ∞

• 0 < x < ∞

• none

Tags

CCSS.HSF-IF.C.7A

Use your graphing calculator to find the maximum value of the given function.

h(x) = -x² + 6x − 10

• x = 3

• (3, −1)

• none

• y = −1