Function Behavior of Quadratics

Identify the y-intercept

• (0, -3)

• (0, 1)

• (0, 3)

• (2, 1)

What is the vertex?

• (4,-4)

• (2,0)

• (0,2)

• (6,0)

What is the end behavior of the graph of y = -3x² +7x - 2?

HINT: Type it into desmos and look at the direction of the graph.

• As x increases, f(x) increases

  As x decreases, f(x) decreases

• As x increases, f(x) decreases

  As x decreases, f(x) decreases

• As x increases, f(x) increases

  As x decreases, f(x) increases

• As x increases, f(x) decreases

  As x decreases, f(x) decreases

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Does the quadratic have a max/min vertex, and does the graph open up/down?

• max/ opens down

• min/ opens up

• max/ opens up

• min/ opens down

What are the vertex and axis of symmetry of the parabola f(x) = -x² - 4x + 12?

• Vertex: (-2, 16); Axis of Symmetry: x = -2

• Vertex: (2, 0); Axis of Symmetry: x = 2

• Vertex: (2, 4); Axis of Symmetry: x = 2

• Vertex: (-2, 4); Axis of Symmetry: z = --2

What is the y-intercept of 
f(x)=2x² + 4x + 6

• (6 , 0)

• (-6 , 0)

• (0, -6)

• (0 , 6)

What is the range of the quadratic function?

• All Real Numbers

The behavior of the graph of f(x) as x approaches positive or negative infinity.

• X-intercept

• Y-intercept

• End Behavior

• Domain

Looking from left to right, intervals of the domain where the outputs are increasing or decreasing.

• Increasing/Decreasing intervals

• Up and Down Intervals

• Hot and Cold Intervals

• End Behavior Intervals