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. \(f(x)= x^2-3x\)
c. \(f(x) = 3\cdot2^x\)
d. \(f(x) = 4\cdot(0.5)^x\)
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.
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.