91Ó°ÊÓ

For quadratic function, identify the vertex, axis of symmetry, and \(x\)- and \(y\)-intercepts. Then, graph the function. \(h(x)=-(x-3)^{2}\)

For quadratic function, identify the vertex, axis of symmetry, and \(x\)- and \(y\)-intercepts. Then, graph the function. \(f(x)=-\frac{1}{3}(x+4)^{2}+3\)

Let \(g(x)=x^{2}-6 x+11\) and \(h(x)=x-4 .\) Find a) \(\quad(h \circ g)(x)\) b) \(\quad(g \circ h)(x)\) c) \(\quad(g \circ h)(4)\)

Given a quadratic equation of the form \(x=a(y-k)^{2}+h,\) answer the following. If \(a\) is negative, which way does the parabola open?

Write a general variation equation using \(k\) as the constant of variation. Suppose \(Q\) varies directly as the square of \(r\) and inversely as \(w .\) If \(Q=25\) when \(r=10\) and \(w=20\) a) find the constant of variation. b) write the specific variation equation relating \(Q, r\) and \(w\) c) find \(Q\) when \(r=6\) and \(w=4\)

Graph each function. $$g(x)=-\frac{3}{2} x-1$$

Sketch the graph of \(f(x) .\) Then, graph \(g(x)\) on the same axes using the transformation techniques. $$\begin{array}{l}f(x)=x^{2} \\\g(x)=(x+2)^{2}\end{array}$$

For quadratic function, identify the vertex, axis of symmetry, and \(x\)- and \(y\)-intercepts. Then, graph the function. \(y=-\frac{1}{2}(x-4)^{2}+2\)

Sketch the graph of \(f(x) .\) Then, graph \(g(x)\) on the same axes using the transformation techniques. $$\begin{aligned}&f(x)=x^{2}\\\&g(x)=(x-3)^{2}\end{aligned}$$

Graph each function. $$f(x)=\frac{1}{4} x+2$$