8.3 HW Vertex Form and Transformations of Quadratics

Does the graph of the function

y = -2(x + 5)² + 2

have a minimum or a maximum?

• Minimum

• Maximum

• It has neither.

• It has both.

Tags

CCSS.HSF-IF.C.7A

What is the range of the function?

• y < -1

• y > -1

• y < -2

• y > -2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

What is the green dashed line called?

• roots or x-intercepts

• parabola

• line of symmetry

• line of dashes

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

Write the equation of a parabola that has shifted 4 units to the right, 5 units down, and has flipped over the x-axis.

• y = - (x - 5)² + 4

• y = - (x - 4)² - 5

• y = - (x + 4)² - 5

• y = - (x + 5)² + 4

What is the equation of this graph?

• y = (x -5)² + 1

• y = (x - 1)² - 5

• y = (x + 1)² - 5

• y = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

What is the domain of a quadratic function?

• It depends on the function

• All Real Numbers

• The Coordinates of the Vertex (h, k)

• The same as the Line of Symmetry

What causes the graph of y = x² to become more narrow?

• multiply the x² by a fraction

• multiply the x² by a decimal

• multiply the x² by a negative number

• multiply the x² by a number greater than 1

Which statement is true about the vertex form equation:

y = 2(x+2)² - 5

• The range is y < -5

• Vertex is (2, -5)

• The graph opens upward