6.9 Homework

A parabola has a vertex at (6, 5) and passes through (10, -11). Which equation represents this parabola in vertex form?

Formula: f(x) = a(x - h)² + k

• -11 = a(10 - 6)² + 5

• y = -(10 - h)² + k

• y = -(x - 6)² + 5

• y = (x - 6)² + 5

Convert the equation from vertex form (shown) to standard form:

y = -3(x + 5)² - 4

Formula: y = ax² + bx + c

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Write the equation of the parabola shown.

• y = 2x² + 4x - 5
• y = 2x² - 4x + 5
• y = 2x² + 4x + 5
• y = 2x² - 4x - 5

Tags

CCSS.HSF-IF.C.7A

Convert the equation y= (x-1)²-6 into standard form.

• y= x²-2x-5

• y= x²-2x-7

• y= x²-2x+5

• y= x²-2x+7

Find the quadratic function with vertex (2, 0) and passing through (1, 3).

• y = 3x² + 12x - 12
• y = - 3x² + 6x - 1
• y = 3x² - 12x + 12
• y = 3x² - 6x + 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

Convert the equation from vertex form (shown) to standard form:

y = -3(x + 5)² - 4

Formula: y = ax² + bx + c

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Which of the following is the graph of the equation:

 $y=-3x^2+12x-16$  

• 
• 
• 
• 

 $y=-5(x+2)^2-10$  
Convert the equation from vertex form to standard form.

• y = -5x² - 20x - 30

• y = -5x² - 4x - 10

• y = 25x² + 100x + 90

• y = 25x² - 10x - 30

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $y=-\frac{2}{3}(x-9)^2-2$  
Convert the equation from vertex form to standard form

•  $y=-\frac{2}{3}x^2-12x-52$  

•  $y=-\frac{2}{3}x^2+12x-56$  

•  $y=-\frac{2}{3}x^2+18x-56$  

•  $y=-\frac{2}{3}x^2-18x+52$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Write the equation for the graph in standard form.

• y = x² + 2x - 3

• y = x² -2x - 3

• y = -x² + 2x + 3

• y = -x² - 2x + 3