How do we shift the graph of $y=f\left(x\right)$y=f(x) to get the graph of $y=f\left(x\right)+4$y=f(x)+4?
Move the graph up by $4$4 units.
Move the graph down by $4$4 units.
How do we shift the graph of $y=g\left(x\right)$y=g(x) to get the graph of $y=g\left(x+6\right)$y=g(x+6)?
Consider the equation $y=4x$y=4x.
The function $y=-5x^2$y=−5x2 has what dilation factor?
Identify the effect on the graph of replacing f(x) by f(x) + k, k*f(x), f(k*x), and f(x+k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.