Quadratic Transformations STAAR

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A.7.C

The graph of f(x)=x^2 is shown on the grid. Which statement about the relationship between the graph of f and the graph of g(x)=7x^2 is true?

• The graph of g is narrower then the graph of f.

• The graph of g is wider then the graph of f.

• The graph of g is 7 units below the graph of f.

• The graph of g is 7 units above the graph of f.

Tags

A.7.C

Quadratic functions q and w are graphed on the same coordinate grid. The vertex of graph of q is 18 units below the vertex of graph of w. Which pair of functions could have been used to create the graphs of q and w?

Tags

A.7.C

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left

• horizontal shift left and vertical shift down

• horizontal shift right and vertical shift up

• horizontal shift up and vertical shift right

How did we transform from f(x) =x² 
to
g(x) = -3x²

• reflection in x-axis and vertical shift down

• reflection x-axis and vertical stretch

• horizontal stretch

• reflection x-axis and vertical compression

Match the description to its equation.
Moves right 7

• A

• B

• C

• D

Does the graph of this equation open up or down? 
f(x) = -(x + 3)² - 5

• up

• down

Tags

CCSS.HSF-IF.C.7A

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