Quadratic Graph Characteristics

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What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.

• x≥3

• x≤3

• All real numbers

• -1≤x≤5

What is the range?

• -3 ≤ y < ∞

• -1 ≤ y < ∞

• All real numbers

• -∞ < y ≤ -1

graph

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What is the arrow pointing at? How can you use this value to determine the minimum/maximum values?

• The arrow is pointing at the y-intercept. 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

• 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 y value is equivalent to the minimum/maximum

In the equation y= ax² + bx + c , if a > 0, then...

• the graph of the parabola will have a maximum.

• the graph of the parabola will open down

• the graph of the parabola will open up

• the vertex will be (0, 0).

What is the equation of the axis of symmetry?

• y = 4

• y = -4

• x = 4

• x = -4

How many zeros does this parabola have? 

• 3

• 2

• 0

• 1

What's the axis of symmetry of y = 3x² - 6x + 4

• x=1

• x=-6

• x=2

• x=-1

Determine the vertex for the following quadratic: y = x² - 9x + 20

• (2,3)

• (4,5)

• (4.5, -.25)

• (-4.5, .25)