Problem 9
Describe the transformation of f(x) = x2 represented by g. Then graph each function \(g(x)=(x+6)^2-2\)
Problem 10
Use the Distance Formula to write an equation of the parabola. vertex: \((0,0)\) directrix: \(y=-9\)
Problem 11
Describe the transformation of f(x) = x2 represented by g. Then graph each function \(g(x)=(x-7)^2+1\)
Problem 15
Explain when to use intercept form and when to use vertex form when writing an equation of a parabola.
Problem 17
Identify the focus, directrix, and axis of symmetry of the parabola. Graph the equation. (See Example 2.) $$y^2=16 x$$
Problem 18
Identify the focus, directrix, and axis of symmetry of the parabola. Graph the equation. (See Example 2.) $$-x^2=48 y$$
Problem 19
Identify the focus, directrix, and axis of symmetry of the parabola. Graph the equation. (See Example 2.) $$6 x^2+3 y=0$$
Problem 20
Identify the focus, directrix, and axis of symmetry of the parabola. Graph the equation. (See Example 2.) $$8 x^2-y=0$$
Problem 21
\(y=x^2+2 x+1\)
Problem 23
. \(y=-4 x^2+8 x+2\)