Understanding Quadratics in Vertex Form

What does the 'h' value in the vertex form of a quadratic equation represent?

• The axis of symmetry

• The vertical shift of the graph

• The horizontal shift of the graph

• The vertical stretch of the graph

How do you determine the axis of symmetry for a quadratic equation in vertex form?

• It is the y-coordinate of the vertex

• It is the x-coordinate of the vertex

• It is the sum of the coefficients

• It is the product of the roots

What is the domain of any quadratic function?

• All integers

• All positive numbers

• All negative numbers

• All real numbers

If a quadratic function is vertically compressed by a factor of 1/2, what happens to the graph?

• It shifts upwards

• It becomes wider

• It shifts downwards

• It becomes narrower

In a quadratic equation, what effect does a negative 'a' value have on the graph?

• The graph opens downwards

• The graph shifts to the right

• The graph shifts to the left

• The graph opens upwards

What does a vertical stretch by a factor of 3 do to a quadratic graph?

• Shifts it to the right

• Makes it narrower

• Makes it wider

• Shifts it to the left

How does a reflection over the x-axis affect a quadratic graph?

• It makes the graph wider

• It flips the graph upside down

• It shifts the graph downwards

• It shifts the graph upwards

If a quadratic function has a minimum value at y = 1, what does this tell us about the graph?

• The graph opens downwards

• The graph opens upwards

• The graph is shifted to the right

• The graph is shifted to the left

What is the vertex of a quadratic function with an axis of symmetry at x = -1 and a minimum value at y = 1?

• (-1, 1)

• (1, -1)

• (0, 0)

• (1, 1)

Which of the following properties is affected by the 'k' value in the vertex form of a quadratic equation?

• Direction of opening

• Axis of symmetry

• Vertical shift

• Horizontal shift