Exploring Quadratic Functions

What is the vertex of the quadratic function y = x^2 - 4x + 3?

• (1, 2)

• (3, 0)

• (2, -1)

• (0, 3)

Graph the function y = -2x^2 + 8x - 6. What is the direction of the parabola?

• The direction of the parabola is upwards.

• The direction of the parabola is downwards.

• The direction of the parabola is horizontal.

• The direction of the parabola is vertical.

Identify the x-intercepts of the quadratic function y = x^2 - 5x + 6.

• (0, 6)

• (4, 0)

• (2, 0), (3, 0)

• (1, 0)

What is the axis of symmetry for the function y = 3x^2 + 12x + 9?

• x = 0

• x = -2

• x = -3

• x = 2

Sketch the graph of y = x^2 + 2x - 8 and label the vertex.

• The vertex of the graph y = x^2 + 2x - 8 is at the point (-1, -9).

• The vertex of the graph is at (0, -8).

• The vertex of the graph is at (1, -7).

• The vertex of the graph is at (-2, -6).

Determine the y-intercept of the function y = 4x^2 - 16.

• -4

• 0

• -16

• 4

How does the value of 'a' in y = ax^2 + bx + c affect the graph?

• The value of 'a' has no effect on the graph's shape.

• The value of 'a' affects the direction and width of the parabola.

• The value of 'a' only affects the y-intercept of the graph.

• The value of 'a' determines the color of the graph.

Find the maximum or minimum value of the function y = -x^2 + 6x - 8.

• 1

• 10

• -1

• 4

What are the coordinates of the vertex for the function y = 2x^2 - 4x + 1?

• (1, -1)

• (1, 0)

• (2, 3)

• (0, 1)

Describe the transformation of the graph of y = (x - 3)^2 + 2 from the parent function y = x^2.

• The graph is shifted left 3 units and down 2 units.

• The graph is reflected over the x-axis.

• The graph is shifted right 3 units and up 2 units from y = x^2.

• The graph is stretched vertically by a factor of 2.