Key Features and Transformations of Quadratics

Does this graph in the back have maximum or minimum value?

• maximum

• minimum

• neither

• both

What is the range of this function?

• (- ∞,+∞)

• [0, +∞)

• [-2, +∞)

• [2, +∞)

Tags

CCSS.HSF-IF.C.7A

Is this a max or min?

• max

• min

• cannot be determined

What is the axis of symmetry?

• the slope of the graph

• the dividing line for a parabola

• a way to spin my pencil

• the x-axis

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) – 9. Which statement about the graphs is true?

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

• The vertex of the graph of g is 9 units to the right of the vertex of the graph of f.

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

• The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

The graph of f(x) = x² was translated 4.5 units to the left to create the graph of function g. Which function represents g?

• g(x) = (x - 4.5)²

• g(x) = (x + 4.5)²

• g(x) = x² - 4.5

• g(x) = x² + 4.5

Match the following term with the best definition.

• The highest or lowest point

• Quadratic Function Equation

• vertex

• The line of reflection of a quadratic function

• parabola

• axis of symmetry

• The shape of a quadratic function

• Axis of symmetry equation

The graph of f(x) = x² is reflected over the x-axis and is stretched horizontally to create the graph of function g. Which graph could represent g?

• 
• 
• 
• 

What is the increasing interval on the function shown?

What is the decreasing interval on the function shown?