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  • Polynomials
  • Graphing Polynomials
  • Transformations of polynomial functions

Transformations of polynomial functions

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  • Question 1:
    1 pts
    		The equation of $p(x)$ is $p(x)=x^2$. What is the equation of $q(x)$?
    $q(x) = x^2 + 2$
    $q(x) = x^2 - 2$
    $q(x) = (x + 2)^2$
    $q(x) = (x - 2)^2$
  • Question 2:
    1 pts
    		What is the equation of the polynomial represented by the red line?
    $q(x) =\frac12 (x+1)^3$
    $q(x) =\frac12 (x-1)^3$
    $q(x) =\frac12 x^3+1$
    $q(x) =\frac12 x^3-1$
  • Question 3:
    2 pts
    		What is the equation of $q(x)$?
    $q(x)=x^4+1$
    $q(x)=x^4-1$
    $q(x)=(x-1)^4$
    $q(x)=(x+1)^4$
  • Question 4:
    2 pts
    		What is the equation of $q(x)$?
    $q(x)=\frac12 x-1$
    $q(x)= \frac12 x+1$
    $q(x)= \frac12 (x+1)$
  • Question 5:
    2 pts
    		What is the equation of $q(x)$?
    $x^2-1$
    $(x-1)^2$
    $-(x^2+1)$
    $(x+1)^2$
  • Question 6:
    2 pts
    		The equation represented by a red line is $q(x) = ax^2$. What is possible value for $a$?
    $a=1$
    $a=1/2$
    $a=2$
  • Question 7:
    3 pts
    		What is the equation of the polynomial represented by the red line?
    $q(x) =(x+2)^2+1$
    $q(x) =(x-2)^2-1$
    $q(x) =(x-2)^2+1$
    $q(x) =(x+2)^2-1$
  • Question 8:
    3 pts
    		What is the equation of the polynomial represented by the red line?
    $q(x) =x^2-4x-5$
    $q(x) =x^2+4x-5$
    $q(x) =x^2+4x+5$
  • Question 9:
    3 pts
    		What is the equation of $q(x)$?
    $q(x)=-\frac12x^2-x-1$
    $q(x)=-\frac12x^2+x-1$
    $q(x)=\frac12x^2-x-1$
  • Question 10:
    3 pts
    		The equation represented by a red line is $q(x) = a\cdotp(x)$. What is possible value for $a$?
    $a=2$
    $a=-2$
    $a=1/2$
    $a=-1/2$

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations