Exploring Quadratic Functions in Vertex Form

What is the general form of a quadratic function in vertex form?

• y = a(x - h)^2 - k

• y = a(x + h)^2 + k

• y = ax^2 + bx + c

• y = a(x - h)^2 + k

In the vertex form y = a(x - h)^2 + k, what does the 'h' represent?

• The y-coordinate of the vertex

• The axis of symmetry

• The x-coordinate of the vertex

• The shape of the parabola

If the 'a' value in the vertex form is negative, what is the direction of the parabola?

• Rightward

• Leftward

• Downward

• Upward

What happens to the parabola if the absolute value of 'a' is greater than 1?

• It shifts to the right

• It becomes narrower

• It becomes wider

• It shifts to the left

What is a good strategy for graphing quadratic functions?

• Using a ruler

• Using a calculator

• Drawing freehand

• Making a table of values

How many points are recommended to graph a parabola accurately?

• Six

• Five

• Four

• Three

What is the vertex of the quadratic function y = (x - 3)^2 + 1?

• (-3, 1)

• (3, 1)

• (3, -1)

• (-3, -1)

For the function y = -2(x - 2)^2 - 7, what is the y-coordinate of the vertex?

• -2

• 7

• 2

• -7

What is the axis of symmetry for the function y = -x^2 + 4x - 1?

• x = 2

• x = 4

• x = -4

• x = -2

What is the range of the function y = -x^2 + 4?

• y ≤ 4

• y ≥ -4

• y ≥ 4

• y ≤ -4