Graphs of Quadratic Functions

Does the parabola
f(x)=4(x-2)² + 3
open up or down?

• up

• down

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

What piece of information does h identify in the following equation?
y=a(x-h)²+k

• y value of the vertex

• Axis of Symmetry and the x coordinate of the vertex

• Direction (facing up or down)

• x-intercept

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction

• multiply the x² by a decimal

• multiply the x² by a negative number

• multiply the x² by a number greater than 1

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

• f(x) = -(x + 2)² - 4

• f(x) = -(x - 2)² - 4

• f(x) = -3(x - 2)² - 4

• f(x) = -3(x + 2)² - 4

Which of the following is a transformation of the graph y = 3x².

• Shifts up 3.

• Shifts left 3.

• Vertical stretch by a factor of 3.

• Shifts right 3.

The graph shown is what kind of function?

• Rational Function

• Exponential Function

• Quadratic Function

• Logistic Function

The graph shown is what kind of function?

• Rational Function

• Exponential Function

• Quadratic Function

• Logistic Function

Which of the following would model the path an object takes when you throw it in the air?

• Rational Functions

• Exponential Functions

• Quadratic Functions

• Logistic Functions

What are the domain and range of the parabola shown?

• Domain: x≥-4
  Range: all real numbers

• Domain: all real numbers
  Range: y <-4

• Domain: all real numbers
  Range: y ≥-4

• Domain: x < -1
  Range: all real numbers