HW 2.3 Graphing Quadratics in Vertex form

What piece of information does c identify in the following equation?
y=ax²+bx+c

• Zeroes
• Axis of Symmetry
• Direction
• y-intercept

What piece of information does h identify in the following equation?
y=a(x-h)²+k

• y value of the vertex
• Axis of Symmetry and the x coordinate of the vertex
• Direction (facing up or down)
• x-intercept

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum
• Minimum
• Not enough information

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF.BF.B.3

Which of the following is the correct equation for the given graph?

• f(x) = -(x + 2)² - 4
• f(x) = -(x - 2)² - 4
• f(x) = -3(x - 2)² - 4
• f(x) = -3(x + 2)² - 4

Tags

CCSS.HSF-IF.C.7A

Which of the following is a transformation of the graph y = (x - 5)² ? 

• Shifts right 5.
• Shifts left 5.
• Shifts up 5.
• Shifts down 5.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which of the following is a transformation of the graph y = x² + 4 ?

• Shifts left 4.
• Shifts right 4.
• Shifts up 4.
• Shifts down 4.

Tags

CCSS.HSF.BF.B.3

Which of the following is a transformation of the graph y = 3x².

• Shifts up 3.
• Shifts left 3.
• Vertical stretch by a factor of 3.
• Shifts right 3.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2