Quadratic Functions Graph and Quadratic Function Table Comparison

Which statement compares the graphs of f(x) and g(x) over the interval [0, 5]?

• The graph of f(x) always exceeds the graph of g(x) over the interval [0, 5].

• The graph of g(x) always exceeds the graph of f(x) over the interval [0, 5].

• The graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x).

• The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

Which function has a range of f(x) ≤ 3/4 ?

• f(x) = 3/4 x + 5

• f(x) = –x² + 3/4

• f(x) = x² – 3/4

• f(x) = 3/4 – 5x

The graph shows the height, y, in meters, of a rocket above sea level in terms of the time, t, in seconds, since it was launched. The rocket landed at sea level.

What does the x-intercept represent in this situation?

• the height from which the rocket was launched

• the time it took the rocket to return to sea level

• the total distance the rocket flew while it was in flight

• the time it took the rocket to reach the highest point in its flight

Which statement compares the graphs of f(x) and g(x) over the interval [0, 5]?

• The graph of f(x) always exceeds the graph of g(x) over the interval [0, 5].

• The graph of g(x) always exceeds the graph of f(x) over the interval [0, 5].

• The graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x).

• The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

• g(x) is narrower.

• g(x) is translated up

• g(x) is translated down

• g(x) is wider

• F
• G
• H
• J

• F

• G

• H

• J

• F

• G

• H

• J

If red represents y = x², which equation represents orange?

• y = 2x²

• y = -.5x²

• y = 1.5x²

• y = .5x²

• y = -2x²

Compare the graph of g(x) = 4x² + 1 to the graph of f(x) = x². Choose all that apply. (Hint: Use Quadratic Dilation Blue Notes)

• Vertical stretch

• Vertical shrink/compression

• Vertical translation (Shift) up

• Vertical translation (Shift) down

• Reflection