Quadratic Functions Key Characteristics

Match the following

• (1,0) & (4,0)

• Increasing

• (0,2)

• Y Intercept

• (2.5, 1)

• Vertex

• 1 to 2.5

• Decreasing

• 2.5 to 4

• X Intercept

Define Y-intercept

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• The lowest y-value on the graph

• The highest y-value on the graph

• Where the parabola touches or intersects the y-axis

Describe the end behavior of the graph.

• 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) increases

  As x decreases, f(x) = 0

• As x increases, f(x) increases

  As x decreases, f(x) decreases

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and
  x→ ∞, y→⁻∞

• x → ∞, y→ ∞ and
  x→⁻∞, y→∞

• None of these

• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

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

• (6 , 0)

• (-6 , 0)

• (0, -6)

• (0 , 6)

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

Consider a parabola that intersects the x-axis at points (8, 0) and (3, 0). Which of the following is the equation of the parabola?

What is the range of the quadratic function?

• All Real Numbers

What is the axis of symmetry?

• x = - 4

• x = - 2

• x = 0

• x = 4

Which of the following is true about the graph shown?

• The vertex is (-5, 0)

• The vertex is (-4, -3)

• The vertex is (-3, -4)

• The vertex is (-1, -5)