Writing Vertex Form, and Changing it to Standard Form

 $y=-3(x+5)^2-4$  
Convert the equation from vertex form to standard form.

• 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

 $y=-5(x+2)^2-10$  
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

 $y=4(x+2)^2-8$ 

Convert the equation from vertex form to standard form. 

•  $y=4x^2+16x+8$  

•  $y=4x^2+16x+16$  

•  $y=16x^2+64x-8$  

•  $y=16x^2+256x+8$  

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

A parabola has a vertex at (1,6) and passes through (3,-18). Write the equation in vertex form.

Formula: f(x) = a(x - h)² + k

• f(x) = 3(x - 1)² - 18

• f(x) = -6(x - 1)² + 6

• f(x) = 6(x - 3)² - 18

• f(x) = -3(x + 1)² - 6

A parabola has a vertex at (-1.5,12.5) and passes through (0,8). Solve for "a" and write the equation in vertex form.

Formula: f(x) = a(x - h)² + k

• y = -1.5(12.5 - 8)²

• y = 2(x + 0)² + 8

• y = -2(x + 1.5)² + 12.5

• y = 8(x + 1.5)² - 12.5

• None of the above

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSG.GPE.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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

y = 2(x - 7)² + 4

Given the equation above, which of the following statements is FALSE?

• The graph opens upward.

• The vertex is at (7, 4).

• The parabola crosses the x-axis twice.

• The standard form is y= 2x² - 28x + 102.

• The axis of symmetry is x = 7.

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

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

Rewrite in Standard Form.

• A
• B
• C
• D