Exploring Quadratic Functions

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

• (2, -1)

• (1, 2)

• (0, 3)

• (3, 0)

Graph the quadratic function y = -2x^2 + 8x - 5. What is the direction of the parabola?

• The direction of the parabola is downwards.

• The direction of the parabola is upwards.

• The direction of the parabola is to the right.

• The direction of the parabola is horizontal.

Identify the x-intercepts of the function y = x^2 - 6x + 8 by graphing.

• (2, 0) and (4, 0)

• (5, 0)

• (3, 0)

• (1, 0)

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

• -2

• 0

• -3

• -1

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

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

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

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

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