Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Modelling Relationships: Linear and Quadratic Functions, Exercise 67: Chapter review

Find an equation for the line which is parallel to line $y=\frac{1}{2}x+3$ and has $y-$intercept $\left(0,-5\right)$.

Find an equation for the line which is perpendicular to $y=-\frac{2}{3}x+7$ and passing through the point $\left(2,4\right)$.

Find an equation for the line which is passing through $\left(-3,-4\right)$ with gradient $0$.

Describe the series of transformations of the graph $y=f\left(x\right)$ that lead to the graph of the given function $y=2f(x-3)$.

Describe the series of transformations of the graph $y=f\left(x\right)$ that lead to the graph of the given function $y=\frac{1}{2}f\left(x\right)+5$.

Describe the series of transformations of the graph $y=f\left(x\right)$ that lead to the graph of the given function $y=-f(x+2)-1$.

Describe the series of transformations of the graph $y=f\left(x\right)$ that lead to the graph of the given function $y=f\left(3x\right)$.

Describe the series of transformations of the graph $y=f\left(x\right)$ that lead to the graph of the given function $y=f(-x)+6$.