Transforming Quadratic

How is the graph of y = 2x²+ 3 different from the graph of y = 2x²?

• It is shifted 3 units left.

• It is shifted 3 units right.

• It is shifted 3 units down.

• It is shifted 3 units up.

Comparing the functions, which is the most narrow?

• f(x)=3x²

• g(x)= -2x²

• h(x)=0.5x²

• a(x)=12x²

For a graph to be wider, the a value must be

• Very large number, regardless of sign

• Very small number, regardless of sign

• Negative number

• a=0

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

Tags

CCSS.HSF-IF.C.7A

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

• g(x)=(x + 3)²

• g(x)=(x - 3)²

• g(x)=x² + 3

• g(x)=x² - 2

Identify the vertex and whether the graph opens up or down.

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)

• f(-x)

• f^-1(x)

• f(2x)

Describe the transformation of y = f(x) for the new function
f(x) = 5x² + 2

• Stretch of 5
  Up 2

• Shrink of 5
  Up 2

• Stretch of 5
  Down 2

• Shrink of 5
  Down 2