Standard Form to Vertex Form Practice

Your Turn!

Convert each equation from standard to vertex form. Keep the video notes open, follow along and try your best!

y = 7x² +28x +19

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4

• y = (x+3)² - 4

• y = (x-3)² + 4

• y = 2(x - 3)² + 4

Which of the following equations matches vertex form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

• y = 6(x + 5)² + 9

• y = -6(x - 5)² + 9

• y = 6(x - 5)² + 9

• y = -6(x + 5)² + 9

What is the equation in vertex form?

• y = 4(x + 3)² - 4

• y = -4(x - 3) - 4

• y = -4(x + 3)² + 4

• y = -4(x - 3)² + 4

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

Which formula allows you to find the x-value of the vertex from a standard form equation?

Find the a, h, and k values for the graph.

• a = -2; h = -3; k = 4

• a = -2; h = 3; k = 4

• a = -2; h = 4; k = -3

• a = -2; h = 4; k = 3

Tags

CCSS.HSF-IF.C.7A

How does the x-value of the vertex of a parabola relate to the x-intercepts?

• The x-value of the vertex is halfway between the x-intercepts.

• You can choose the x-value of the vertex and the x-intercepts.

• The x-value of the vertex is always closer to the smaller x-intercept.

• There is not a relationship between the x-value of the vertex and the x-intercepts.

• The x-value of the vertex is always closer to the larger x-intercept.

Tags

CCSS.HSF-IF.C.7A

What is the equation of this parabola, in vertex form?

Tags

CCSS.HSF-IF.C.7A