FNGR 2 | Lesson 1 | Explore (Function Matching)

See how well you understand function expressions by trying to match your function graph to a generated graph.  Download the graphs  and return to this page to complete the task.  Match Graph With the Equation 

Use the following functions to match them to the graphs

a.  \(f(x)= x^2-3x\)

b.  \(f(x)=x^2 +2x\)

c.  \(f(x) = 3•2^x\)

d.  \(f(x) = 4•(0.5)^x\)

e.  \(f(x) = -2x+5\)

f.  \(f(x) = 2x + 3\)

Did you find the following matches:  1 – b; 2 – c; 3 – d; 4 – f; 5 – a; 6 – e

After exploring and matching the expressions to the graphs, move on to the next exploration about the coefficients and the constants of quadratic functions.  Pay close attention to what \(a\), \(b\) and \(c\) do and what impact they have on a parabola.  Don’t be shy, even try the wild side with negative coefficients and constant.  Download and explore, once you have explored all types return to this page.

https://phet.colorado.edu/en/simulation/graphing-quadratics

What did you determine about \(a\), \(b\) and \(c\) and how they effect a parabola?  Let’s see if you are on the right track.


Go to Watch (Graphing Quadratic Functions: HippoCampus)