Graphing Quadratic Functions Using Intercepts

The video tutorial explains how to graph quadratic functions in standard form. It covers finding the vertex using the formula -b/2a, determining x-intercepts by setting y to zero and factoring, and calculating the y-intercept by substituting x with zero. The tutorial emphasizes the use of a data table to organize information and demonstrates plotting the graph using the vertex, x-intercepts, and y-intercept. The axis of symmetry and the range of the function are also discussed.

Why is it helpful to use a data table when graphing quadratic functions?

• It helps organize important points.

• It simplifies the equation.

• It makes the graph look nicer.

• It is required by all math teachers.

Tags

CCSS.HSF-IF.C.7A

What is the formula to find the x-coordinate of the vertex in a quadratic function?

• 2a/b

• b/2a

• -2a/b

• -b/2a

If a quadratic function has a = 1 and b = -4, what is the x-coordinate of the vertex?

• 4

• -2

• 2

• -4

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

• Set x to zero and solve for y.

• Set y to zero and solve for x.

• Use the quadratic formula.

• Find the vertex and use symmetry.

Tags

CCSS.HSF-IF.C.7A

What are the x-intercepts of the function if the factors are (x-1) and (x-3)?

• 1 and -3

• -1 and -3

• -1 and 3

• 1 and 3

Tags

CCSS.HSF-IF.C.7C

How do you find the y-intercept of a quadratic function?

• Set x to zero and solve for y.

• Set y to zero and solve for x.

• Find the vertex and use symmetry.

• Use the quadratic formula.

Tags

CCSS.HSF-IF.C.7A

What is the y-intercept of the function if the equation is y = x^2 - 4x + 3?

• 1

• -4

• 3

• 0

Tags

CCSS.HSF-IF.C.7A

If the y-intercept is (0, 3), what is the y-value when x is 4?

• 0

• 3

• 4

• -3

What is the axis of symmetry for the quadratic function with vertex (2, -1)?

• y = -1

• x = 2

• x = -1

• y = 2

What is the range of the quadratic function with a minimum value of -1?

• (-∞, -1]

• [-1, ∞)

• (-1, ∞)

• (-∞, 1]

Tags

CCSS.HSF-IF.C.7A