Algebra II Test 1

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| By Shelbyo92

Shelbyo92

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Quizzes Created: 1 | Total Attempts: 616

Questions: 7 | Attempts: 616 | Updated: Mar 20, 2023

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A quiz over the main 8 parent functions. Algebra 2 grade 11

Questions and Answers

1.

What is the Parent Function for the equation y=x^2?
- A.
  
  Rational
- B.
  
  Quadratic
- C.
  
  Absolute value
Correct Answer
B. Quadratic

Explanation
The parent function for the equation y=x^2 is quadratic. A quadratic function is a polynomial function of degree 2, where the highest power of the variable is 2. In this case, the equation y=x^2 represents a parabola that opens upwards, with the vertex at the origin. The quadratic parent function is the simplest form of a quadratic equation, and all other quadratic equations can be derived from it through transformations.

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2.

The equation for the rational parent function is .

Correct Answer
y=1/x

Explanation
The equation y=1/x represents the rational parent function. In this equation, the variable y represents the dependent variable and x represents the independent variable. The function describes a hyperbola that passes through the origin (0,0) and has asymptotes at the x-axis and y-axis. As x approaches positive or negative infinity, y approaches zero, and as x approaches zero, y approaches positive or negative infinity. This equation is the standard form of the rational parent function and can be used to graph various rational functions by applying transformations.

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1
4 0
3.

The linear parent function has an equation of...
- A.
  
  Y=2x
- B.
  
  X=3y
- C.
  
  Y=x
Correct Answer
C. Y=x

Explanation
The correct answer is y=x because the linear parent function represents a straight line with a slope of 1 and a y-intercept of 0. This means that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the equation y=x accurately represents the linear parent function.

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4.

The graph for parent function exponential growth movies in an direction.

Correct Answer
upward

Explanation
The graph for the parent function exponential growth moves in an upward direction because as the input values increase, the output values also increase at an increasing rate. This results in a graph that starts at a low point and steadily rises as the input values increase.

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1
4 0
5.

Y=log(x) is the
- A.
  
  Logarithmic Parent function.
- B.
  
  Absolute Parent function.
- C.
  
  Square root parent function.
Correct Answer
A. Logarithmic Parent function.

Explanation
The given equation y=log(x) represents the logarithmic parent function. This is because the equation is in the form of y=log(base)x, which is the general form of a logarithmic function. The logarithmic parent function is the most basic form of a logarithmic function and serves as a reference point for other logarithmic functions. It is characterized by a vertical asymptote at x=0 and a horizontal asymptote at y=0.

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6.

When an equation has 2 bars outside the x it is a
- A.
  
  Exponential growth pf.
- B.
  
  Logarithmic pf.
- C.
  
  Absolute value pf
Correct Answer
C. Absolute value pf

Explanation
When an equation has 2 bars outside the x, it indicates that it is an absolute value function. Absolute value functions are represented by two bars enclosing the variable and can be defined as the distance of the variable from zero on a number line, regardless of its sign. Therefore, the correct answer is "absolute value pf".

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7.

When the points equal (0,0), (1,1), (4,2) and (9,3) the pf is..
- A.
  
  Linear. pf
- B.
  
  Quadratic. pf
- C.
  
  Square root. pf
Correct Answer
C. Square root. pf

Explanation
The given points form a pattern where the y-coordinate is the square root of the x-coordinate. This indicates that the relationship between the variables is a square root function. Therefore, the correct answer is "Square root. pf".

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Algebra II Test 1

What is the Parent Function for the equation y=x^2?

The equation for the rational parent function is .

The linear parent function has an equation of...

The graph for parent function exponential growth movies in an direction.

Y=log(x) is the

When an equation has 2 bars outside the x it is a

When the points equal (0,0), (1,1), (4,2) and (9,3) the pf is..