Staar Quadratic Transformations

The graph of quadratic parent function f was transformed to create the graph of e(x). Which two equations represent the translation on the graph? (Place the f(x) version in the second spot).

Tags

AI.9.6

If the blue graph is
f(x) = x² 
then the red must be...

Mathematical Equivalence

ON

• compress

• stretch

Parent function, f(x) = x². Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.

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• compress

• stretch

• up 3

• down 3

• right 1

• left 1

• downward

• upward

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum

• Minimum

Tags

CCSS.HSF-IF.C.7A

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

How did we transform from y=x^2?
y = -3x²

• reflection in x-axis and vertical shift down

• reflection x-axis and vertical stretch

• horizontal stretch

• reflection x-axis and vertical compression

Which of the following statements about the function j(x) = -2(x + 3)² + 9 is FALSE?

• The function j(x) is shifted up 9 units compared to the parent function

• The function j(x) is narrower than the parent function

• The function j(x) is shifted right 3 units compared to the parent function

• The function j(x) is reflected across the x-axis compared to the parent function