Understanding Vertex Form and Graphing

What does the vertex form of a line tell you about the graph?

• The slope of the line

• The vertex of the graph

• The axis of symmetry

• The y-intercept of the graph

If the vertex of a graph is (2, 3), what is the vertex form of the equation?

• x + 2 - 3

• x - 2 + 3

• x + 2 + 3

• x - 2 - 3

How does the graph move if the vertex form has a positive h value?

• Moves to the left

• Moves down

• Moves to the right

• Moves up

What is the axis of symmetry for the vertex form x - 4?

• x = 2

• x = 0

• x = 4

• x = -4

When graphing using vertex form, what is the first step?

• Determine the axis of symmetry

• Calculate the slope

• Plot the vertex

• Find the y-intercept

What happens to a graph when it undergoes a vertical shrink?

• It moves up

• It becomes wider

• It moves down

• It becomes narrower

How do you determine the new vertex after a graph is moved left by 5 units?

• Add 5 to the x-coordinate

• Subtract 5 from the x-coordinate

• Add 5 to the y-coordinate

• Subtract 5 from the y-coordinate

What is the effect of a negative 'a' value in the vertex form of a quadratic function?

• The graph opens upwards

• The graph opens downwards

• The graph shifts to the right

• The graph shifts to the left

In the equation y = a(x - h)^2 + k, what does the 'a' value affect?

• The direction of the graph

• The axis of symmetry

• The width of the graph

• The position of the vertex

How do you find the 'a' value when given a vertex and a point on the graph?

• Calculate the slope

• Find the y-intercept

• Use the vertex to solve for 'a'

• Plug the point into the vertex form equation