Quadratic Transformations CFU

The graph of f(x) = x² is transformed to create the graph of

h(x) = x² + 2. Which graph best represents f and h?

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The graph of f(x) = x² was transformed to create the graph of g(x) = -3x². Which of these describes the transformation from the graph of f to the graph of g?

• A reflection over the x-axis and a horizontal stretch.

• A reflection over the y-axis and a horizontal stretch.

• A reflection over the x-axis and a vertical stretch.

• A reflection over the y-axis and a vertical stretch.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

The graph of f(x) = x² was transformed to create the graph of f(x) = (x + 3)² , Which of these describes the transformation?

• A horizontal shift to the left 3 units.

• A horizontal shift to the right 3 units

• A vertical shift down 3 units.

• A vertical shift up 3 units.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) - 4. Which statement is true about the graphs?

• The graph of g is a reflection of f across the x-axis.

• The vertex of the graph of g is 4 units to the right of the vertex of f.

• The graph of g is a reflection of f across the y-axis.

• The y-intercept of the graph of g is 4 units below the y-intercept of f.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The graph of quadratic function f was transformed to create the graph of g(x) = f(x + 6) - 2. Which graph best represents g?

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

The blue graph is f(x)=x² is transformed to create the red graph g. Which function best represents the red graph?

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The blue graph is f(x)=x² is transformed to create the red graph g. Which function best represents the red graph?

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7