Understanding Quadratic Functions

What is the highest or lowest point on a parabola called?

• Intercept

• Axis

• Vertex

• Focus

What is the line that divides a parabola into two symmetrical halves?

• Tangent

• Chord

• Directrix

• Axis of symmetry

In the general form of a quadratic function, what does the sign of 'a' determine?

• The width of the parabola

• The position of the vertex

• The direction the parabola opens

• The number of intercepts

For the function f(x) = x^2 - 4, what is the y-intercept?

• (0, 4)

• (-4, 0)

• (0, -4)

• (4, 0)

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

• Set f(x) to zero and solve for x

• Set x to zero and solve for f(x)

• Find the vertex

• Use the axis of symmetry

In the function f(x) = -x^2 + x + 6, what is the axis of symmetry?

• x = 1

• x = -1/2

• x = 1/2

• x = -1

What is the vertex of the function f(x) = -x^2 + x + 6?

• (0, 6)

• (1/2, 25/4)

• (1, 6)

• (1/2, 6.25)

For the function f(x) = -x^2 + x + 6, what are the x-intercepts?

• (-2, 0) and (3, 0)

• (2, 0) and (-3, 0)

• (3, 0) and (-2, 0)

• (0, -2) and (0, 3)

What is the y-intercept of the function f(x) = -x^2 + x + 6?

• (0, -6)

• (6, 0)

• (0, 6)

• (-6, 0)

What is a good way to verify the correctness of a parabola's graph?

• Count the intercepts

• Measure the width

• Ensure symmetry about the axis

• Check the vertex