Quadratic & System Review

Does this graph in the back have maximum or minimum value?

• maximum
• minimum
• neither
• both

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

What do we call the highest or lowest point of a quadratic?

• parabola
• vertex
• graph
• point

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The standard form of a quadratic function is

• ax² + bx + c

• a(x - h)² + k

• y - y₁ = m(x - x₁)

• Ax + By = C

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.A.1

CCSS.HSF.IF.C.8

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

If the blue is f(x)=x^2, then the red must be

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

Tags

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

Tags

CCSS.HSF.BF.B.3

How many zeros does this parabola have? 

• 3
• 2
• 0
• 1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Use the graph to determine the solutions.

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11