1st Semester Pre Calculus Review

Write the standard form of the circle: 
x² + y² +10y = 39 

• x² + (y+5)² = 49
• x² + (y+5)² = 64
• (x+5)² + y² = 61
• (x+5)² + y² = 100

Tags

CCSS.HSG.GPE.A.1

The endpoints of a diameter of a circle are (3,1) and (9,5).Find the equation of the circle?

• (x−6)²+(y−3)²=13
• (x−3)²+(y−6)²=13²
• (x−5)²+(y−9)²=13
• (x−9)²+(y−5)²=169/4

Tags

CCSS.HSG.GPE.A.1

Given the line 2x-3y=9, write the equation of a line parallel to it that passes through the point (4, -1)

• y = 2/3x - 3
• y = 2/3x - 11/3
• y = 2/3x - 4
• y = 2/3x - 5/3

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Evaluate the function when x = 4

• f(4) = 2(4) - 5 = 3

• f(4) = 2(4) - 5 = -1

• f(4) = ½(4) + 1 = 3

• f(4) = 4

Tags

CCSS.HSF.IF.A.2

Do the difference quotient to the following

• x^{2 + 2x + h - 2}
• 2x + h
• 2x + h - 2
• 2xh + h² - 2h

Where is the function increasing?

• (4, ∞)
• (−4, ∞)
• (6, ∞)
• 4 < x < 6

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and x→∞, y→⁻∞
• x → ∞, y→ ∞ and x→⁻∞, y→∞
• x → ∞, y→ ∞ and x→⁻∞, y→ 0
• x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
f(x)=-x+4, g(x)=2f(x)

• g is a vertical shrink by a factor of 2
• g is a horizontal stretch by a factor of 2
• g is a vertical stretch by a factor of 2
• g is a reflection across the y-axis

Tags

CCSS.HSF.BF.B.3

What is the equation of the quadratic function obtained from vertically stretching the parent function by a factor of 2 and then vertically shifting up 3 units?

• f(x)= 2(x-3)²
• f(x)= 2(x+3)²
• f(x)= 2x²+3
• f(x)= (x-2)²+3

Tags

CCSS.HSF.BF.B.3