Understanding Quadratic Functions

The video tutorial covers solving a quadratic function problem by finding F(3), the axis of symmetry, the vertex, x and y intercepts, and graphing the function. It begins with a review of quadratic functions and their properties, then proceeds to calculate specific values and graph the parabola.

What shape does the graph of a quadratic function form?

• Hyperbola

• Parabola

• Ellipse

• Circle

If a parabola opens upwards, what can be said about the coefficient 'A'?

• A is negative

• A is zero

• A is positive

• A is undefined

What is the formula for the axis of symmetry in a quadratic function?

• x = -B / A

• x = 2A / B

• x = -B / 2A

• x = B / 2A

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

• Set x = 0 and solve for y

• Set y = 0 and solve for x

• Set x = y and solve for both

• Set x = 1 and solve for y

What is the y-intercept of a quadratic function?

• The point where the graph crosses the x-axis

• The point where the graph crosses the y-axis

• The highest point on the graph

• The lowest point on the graph

What is the value of F(3) for the given quadratic function?

• 7

• 5

• 9

• 3

What is the equation of the axis of symmetry for the given function?

• x = 3

• x = 2

• x = 1

• x = 4

What are the coordinates of the vertex for the given quadratic function?

• (3, 6)

• (2, 6)

• (2, 5)

• (3, 5)

What is the approximate x-intercept of the function at 2 + √6?

• 6.45

• 5.45

• 4.45

• 3.45

What is the y-intercept of the function?

• (0, 4)

• (0, 1)

• (0, 2)

• (0, 3)