Hillsborough Community College Intro to Quadratics Activity Worksheet

Please complete the attached pdf. Using the link and desmos. Into to quadratic equations.

Name: _______________________________
Intro to Quadratics Activity
Open the following link: https://www.desmos.com/calculator/h5dtf46vdz
Quadratic Function of the form: 𝒇(𝒙) = 𝒂𝒙𝟐 + 𝒃𝒙 + 𝒄
Explore the effects of ‘c’ on the graph and determine what ‘c’ represents to the function
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Pick values of c by adjusting the slider and observing the resulting graph. Describe what is noticed. The table may
also give you some ideas of what is happening with c.
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What can be concluded about the value of c? Defend your answer and relate it to the a value of an exponential
function and the b value of a linear function.
Explore the effects of ‘a’ on the graph
Adjust the a slider to 1
Adjust the b slider to 0
Adjust the c slider to 0
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Pick values, by using the slider, greater than 1 (a > 1), describe what is noticed.
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Change the slider so that the value begins at 0 and ends at 1 with a step of .01
o Pick values between 0 and 1 (0 < a < 1), describe what is noticed. • Change a to 0, describe what is noticed. Explain why this occurs in the graph. • Change a to -1, describe what is noticed. • Change the slider so that the value begins at -10 and ends at -1 with no step o Pick values less than -1 (a < -1), describe what is noticed. • Change the slider so that the value begins at -1 and ends at 0 with a step of .01 o Pick values between -1 and 0 (-1 < a < 0), describe what is noticed.