Factored Form and Graph

What is the equation of the graph?

• y= x(x-2)(x-4)

• y= x(x-2)(x-4)²

• y= x(x-2)²(x-4)

• y= x²(x-2)(x-4)

What is the "a" value of the function f(x)= a(x-4)(x-2)? Plug the equation into Desmos.com and guess a-values to match the graph. Enter you answer as just one #

Which equation matches the given graph? Use desmos.com to play around with a-values until your y-intercept matches.

• y = -(x+3)(x+1)(x-2)
  

• y = -.5(x+3)(x+1)(x-2)
  

• y = .5(x+3)(x+1)(x-2)

• y = -2(x+3)(x+1)(x-2)

Create a STANDARD FORM rule that matches the graph

• y = (x + 3)(x - 2)

• y = x² - x - 6

• y = x² + 3x - 2

• y = x² + x - 6

What is the error?

• The student found the wrong x intercepts

• The student forgot to flip the signs of the intercepts in the equation

• the student forgot to square the factor of the double root factor

• The student wrong a function for a cubic function instead of a quadratic function

What kind of function is represented in the graph? Enter your answer as ONE word and make sure it's spelled correctly (Don't say even/odd or positive/negative)

What is the error?

• The student forgot to square the double root

• The student wrote a cubic equation when the graph is a quartic function

• The student forgot to flip the signs of the x intercepts when writing the equation

• The student found the wrong x intercepts

Which quadratic equation models the parabola shown?

• y = (x-2)(x+5)

• y = (x+2)(x+5)

• y = -(x-2)(x-5)

• y = -(x+2)(x+5)

Which quadratic equation models the parabola shown below?

• y = 0.25(x-2)(x+2)

• y = -0.25(x-2)(x+2)

• y = 4(x-2)(x+2)

Which graph below matches up with the equation:

y = -⅕(x+6)(x+1)

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