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Magazine Problem 21
Sketch the graph of \(f(x) .\) Then, graph \(g(x)\) on the same axes using the transformation techniques. $$\begin{aligned}&f(x)=|x|\\\&g(x)=|x|+3\end{aligned}$$
Problem 21
Write a general variation equation using \(k\) as the constant of variation. Suppose \(N\) varies inversely as \(y .\) If \(N=4\) when \(y=12\) a) find the constant of variation. b) write the specific variation equation relating \(N\) and \(y\) c) find \(N\) when \(y=3\)
Problem 21
Graph each function. $$h(a)=-2 a+1$$
Problem 21
Given a quadratic equation of the form \(x=a(y-k)^{2}+h,\) answer the following. What is the vertex?
Problem 21
For quadratic function, identify the vertex, axis of symmetry, and \(x\)- and \(y\)-intercepts. Then, graph the function. \(y=-x^{2}+5\)
Problem 22
Sketch the graph of \(f(x) .\) Then, graph \(g(x)\) on the same axes using the transformation techniques. $$\begin{aligned}&f(x)=|x|\\\&g(x)=|x|-4\end{aligned}$$
Problem 22
Given a quadratic equation of the form \(x=a(y-k)^{2}+h,\) answer the following. What is the equation of the axis of symmetry?
Problem 22
Write a general variation equation using \(k\) as the constant of variation. Suppose \(j\) varies inversely as \(m .\) If \(j=7\) when \(m=9\) a) find the constant of variation. b) write the specific variation equation relating \(j\) and \(m\) c) find \(j\) when \(m=21\)
Problem 22
Graph each function. $$r(t)=3 t-2$$
Problem 22
For quadratic function, identify the vertex, axis of symmetry, and \(x\)- and \(y\)-intercepts. Then, graph the function. \(h(x)=-(x-3)^{2}\)
