💡💡 Quadratic Transformations and Roots Test

How did we transform from the parent function?

y = -1/5x² + 7 (Choose ALL that apply.)

• reflection over the x-axis

• vertical shift up 7

• vertical stretch of 1/5

• vertical shift down 7

• vertical compression of 1/5

Tags

CCSS.HSF.BF.B.3

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5
• Horizontal compress by 5
• Reflect
• Move up 5

Tags

CCSS.HSG.CO.A.2

In the equation f(x)=1/2(x+9)²-1, what happens to the parabola? (Choose ALL that apply.)

• right 9

• Vertical compress by 1/2

• Horizontal Compress by 1/2

• left 9

• down 1

Tags

CCSS.HSF.BF.B.3

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

What transformation occurred to create the black parabola from the green parabola, y = x²?

• y = (x + 2)² + 5

• y = - (x - 2)² + 5

• y = - 2(x + 2)² + 5

• y = -0.5(x - 2)² + 5

How does the graph of y = x ² - 7  compare to the parent function y = x²

• y = x ² - 7   is wider than  y = x²
• y = x ² - 7   is narrower than  
  y = x²
• y = x ² - 7   is shifted down 7 spaces from  y = x²
• y = x ² - 7   is shifted up 7 spaces from  y = x²

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What are the values of x when y = 0?

• { -3, 1 }
• { -2 }
• { -3, -1 }
• { 1, 3 }

Tags

CCSS.HSF-IF.C.7A

Solve
x² + 7x + 12 = 0

• x = -2, x = -10
• x = -3, x = -4
• x = -4, x = -5
• x = -4, x = -6

Tags

CCSS.HSA-REI.B.4B

Solve
x² + 9x + 20 = 0

• x = -2, x = -10
• x = -3, x = -4
• x = -4, x = -5
• x = -4, x = -6

Tags

CCSS.HSA-REI.B.4B

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

Tags

CCSS.HSA-REI.B.4B