Quadratic Vertex Form with A=1

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

• (2, 4)

• (3, 3)

• (3, 2)

• (4, 2)

For the quadratic function y = (x-2)^2 - 1, what is the axis of symmetry?

• x = 2

• x = 0

• y = 1

• x = -2

Graph the quadratic function y = (x+1)^2 - 4. What is the vertex of the graph?

• (0, 4)

• (-1, -4)

• (2, -1)

• (-3, 2)

Tags

CCSS.HSF-IF.C.7A

How does changing the value of 'a' in the quadratic function y = ax^2 + bx + c affect the width of the parabola?

• Changing the value of 'a' in the quadratic function y = ax^2 + bx + c affects the width of the parabola by rotating it around the origin.

• Changing the value of 'a' in the quadratic function y = ax^2 + bx + c affects the width of the parabola by stretching or compressing it along the x-axis.

• Changing the value of 'a' in the quadratic function y = ax^2 + bx + c affects the width of the parabola by shifting it vertically.

• Changing the value of 'a' in the quadratic function y = ax^2 + bx + c affects the width of the parabola by changing the y-intercept.

The graph of a quadratic function is shown. The vertex and two points are labeled. Drag and drop the numbers and operations to write the equation for the parabola in vertex form. y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

• -

• 1

• 6

• 12

• 4

• 8

• +

The graph of a quadratic function is shown. The vertex and two points are labeled. Drag and drop the numbers and operations to write the equation for the parabola in vertex form. y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

• -

• 1

• 6

• 12

• 4

• 8

• +

What is the minimum/maximum value of the quadratic function y = (x+4)^2 - 3?

• Minimum value: 3, Maximum value: -3

• Minimum value: 0, Maximum value: 3

• Minimum value: -3, Maximum value: No maximum value

• Minimum value: -4, Maximum value: 3

If the vertex of a quadratic function is (1, -5), what is the equation of the function in vertex form?

• y = a(x + 1)^2 - 5

• y = a(x - 1)^2 + 5

• y = a(x - 1)^2 - 5

• y = a(x - 1)^2 + 5

Explain the relationship between the vertex of a quadratic function and the axis of symmetry.

• The vertex of a quadratic function and the axis of symmetry are directly related, as the axis of symmetry passes through the vertex of the parabola.

• The axis of symmetry is always located to the left of the vertex

• The vertex of a quadratic function and the axis of symmetry are unrelated

• The vertex of a quadratic function is always located on the x-axis

For the quadratic function y = (x-1)^2 + 3, what is the y-intercept of the graph?

• The y-intercept of the graph is 4.

• The y-intercept of the graph is 1.

• The y-intercept of the graph is 0.

• The y-intercept of the graph is -3.

Tags

CCSS.HSF-IF.C.7A