Graphing Quadratic Functions

What is the relationship between the coefficient 'a' and the width of the parabola for a quadratic function?

• The coefficient 'a' determines the width of the parabola.

• The coefficient 'a' has no effect on the width of the parabola.

• The width of the parabola is determined by the y-intercept, not the coefficient 'a'.

• The width of the parabola is always the same regardless of the value of the coefficient 'a'.

Tags

CCSS.HSF-IF.C.7A

How do you find the x-intercepts of a quadratic function?

• By finding the average of the x-values

• By taking the derivative of the function

• By adding the y-intercept to the slope of the function

• By setting the function equal to zero and solving for x using the quadratic formula or factoring.

Tags

CCSS.HSF-IF.C.7A

What is the maximum or minimum value of a quadratic function and how is it related to the vertex?

• The maximum or minimum value is unrelated to the vertex

• The maximum or minimum value is the x-coordinate of the vertex

• The maximum or minimum value is always 0

• The maximum or minimum value is related to the vertex by being the y-coordinate of the vertex.

What is the significance of the y-intercept in the graph of a quadratic function?

• It represents the value of the function when x=1.

• It has no significance in the graph of a quadratic function.

• It indicates the maximum value of the function.

• It represents the value of the function when x=0.

Tags

CCSS.HSF-IF.C.7A

How do you determine the domain and range of a quadratic function from its graph?

• You can determine the domain by counting the number of x-intercepts and the range by counting the number of y-intercepts on the graph.

• The domain can be found by looking at the vertex of the parabola and the range can be found by looking at the axis of symmetry on the graph.

• The domain is determined by the steepness of the parabola and the range is determined by the width of the parabola on the graph.

• You can determine the domain by looking at the x-values and the range by looking at the y-values on the graph.

What is the process of finding the equation of a quadratic function given its graph?

• Identifying key points on the graph and using them to form the equation

• Using trigonometric functions to calculate the equation

• Guessing the equation based on the graph's shape

• Counting the number of lines intersecting the graph

Tags

CCSS.HSF-IF.C.7A

How do you use transformations to graph a quadratic function?

• Use a compass and straightedge to draw the graph

• Ask someone else to graph the function for you

• Apply translations, reflections, and stretches/shrinks to the parent function

• Use a protractor to measure the angles of the graph

What do we call the graph of a quadratic function?

• parabola

• linear

• cubic

• sinusoidal

Tags

CCSS.HSF-IF.C.7A

Find the axis of symmetry for f(x) = x² + 4x - 5 

• x = 2

• x = -2

• x = 4

• x = -4

Given: y = 2(x - 5) + 6, the vertex is

• (2, -5)

• (-5, 6)

• (2, 6)

• (5, 6)