Graphs and Tables of Quadratic Functions

• A

• B

• C

• D

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Which of the following functions graphs the parabola shown?

• y = x² - 4x + 1

• y = -2x² - 8x - 3

• y = x² - 4x + 5

• y = 2x² + 6x + 1

What is the green dashed line called?

46.F.IF.4 interpret key features of quadratic functions represented in graphs, tables, equations, and verbal descriptions

• roots or x-intercepts

• parabola

• axis of symmetry

• y intercept

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Wider

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Translation left 2 units

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which transformation will occur if f(x) = x² is replaced with -f(x)?

• Nothing happens, it stays the same.

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²