Solving quadratics in vertex form and by completing the square

What are the x-intercept(s) of
y = -(x + 2)² + 16.

• (-2, 0) & (16, 0)
• (2, 0)
• (2, 0) & (-6, 0)
• (2, 0) & (-2, 0)

Tags

CCSS.HSF-IF.C.7A

Which of the following equations shows the vertex form of a quadratic?

• y = mx + b

• y = a(x - p)(x - q)

• y = ax² + bx + c

• y = a(x - h)² + k

Tags

CCSS.HSA.SSE.B.3

In factored form you can see the ______ of the graph easily.

• y-intercept

• vertex

• x-intercepts

Tags

CCSS.HSF-IF.C.7A

In vertex form you can see the ______ of the graph easily.

• vertex

• y-intercept

• x-intercepts

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Write the Equation in Vertex Form
x² + 6x = 5

• (x + 3)² -5
• (x + 6)² - 9
• (x + 3)² -14
• (x + 6)² - 14

find the value of c that make a perfect square trinomial

x² + 12x +c

• 144

• 36

• - 36

• 6

What should be added to both sides of the following equation to complete the square?
x² - 12x = 5

• -12
• 6
• 36
• -5

Convert to vertex form.
y = 3x² +6x - 5

• y=3(x+1)² - 8
• y=3(x-1) ² - 8
• y=3(x+2)² - 8
• y=3(x-2)² - 8

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Write the equation of the quadratic function that has a vertex of (-2, 6) and passes through the point (-1, 3).

• y = 1/3 (x + 2)² + 6
• y = -3(x + 2)² + 6
• y = -3(x - 2)² + 6
• y = -(x + 1)² + 3

Convert the equation y= 8x²-16x+27 into vertex form.

• y=8(x+1)²+19
• y= -8(x-1)²+19
• y=8(x-1)²+19
• y=(x-1)²+8