Graphing Quadratic Functions in Intercept Form

This video tutorial covers graphing quadratic functions in intercept form. It explains the intercept form, identifies x-intercepts, and describes the axis of symmetry. The video details how the graph's behavior changes based on the value of 'a', including vertical stretch and shrink. It provides a step-by-step guide to graphing, including identifying x-intercepts, drawing the axis of symmetry, finding the vertex, and drawing a smooth curve. An example problem is solved, and viewers are encouraged to practice. The video also covers converting between intercept and standard forms.

What does 'P' represent in the intercept form of a quadratic function?

• Coefficient of x

• y-intercept

• x-intercept

• Vertex of the graph

How is the axis of symmetry calculated in the intercept form?

• 2P + 2Q

• P + Q

• (P + Q) / 2

• P * Q

If 'a' is less than 0, how does the graph of the quadratic function behave?

• Opens downwards

• Becomes linear

• Remains constant

• Opens upwards

What does a negative 'a' indicate about the graph of a quadratic function?

• It is translated to the right

• It opens upwards

• It opens downwards

• It is translated to the left

What is the first step in graphing a quadratic function in intercept form?

• Draw the axis of symmetry

• Identify and plot the x-intercepts

• Find the vertex

• Plot the y-intercept

What is used to find the vertex of the graph in intercept form?

• Sum of roots

• Coefficient 'a'

• Product of roots

• Axis of symmetry

In the example, what are the x-intercepts of the quadratic function?

• -1 and 3

• -2 and 4

• -3 and 2

• -4 and 2

What is the axis of symmetry in the provided example?

• x = 0

• x = -1/2

• x = 2

• x = 1

What is the vertex of the graph in the example?

• (1, 27)

• (1, -27)

• (-1/2, -5)

• (0, 0)

How do you convert a quadratic function from intercept form to standard form?

• Factor the quadratic

• Use the quadratic formula

• Multiply out and distribute 'a'

• Complete the square