Notes
| \({\text{Axis of Symmetry}}\) | |
| \(\underline{\text{Formula}}\) | \(\underline{\text{Axis of Symmetry}}\) |
|---|---|
Practice Problems
Identify the axis of symmetry.
\(\textbf{1)}\) \(y=x^2+4x-8\)
\(\textbf{2)}\) \(y=(x-3)^2+4\)
\(\textbf{3)}\) \(y=(x-3)(x-5)\)
\(\textbf{4)}\) \(y=(x+2)(x-8)\)
\(\textbf{5)}\) \(y=(x+5)^2-1\)
\(\textbf{6)}\) \(y=x^2-8x+3\)
\(\textbf{7)}\) \(y=x^2+2x+5\)
\(\textbf{8)}\) \(y=3x^2-6x+2\)
\(\textbf{9)}\) \(y=2x^2-12x+4\)
See Related Pages\(\)
\(\bullet\text{ All Conic Section Notes}\)
\(\,\,\,\,\,\,\,\,\)
\(\bullet\text{ Equation of a Circle}\)
\(\,\,\,\,\,\,\,\,(x-h)^2+(y-k)^2=r^2…\)
\(\bullet\text{ Parabolas}\)
\(\,\,\,\,\,\,\,\,y=a(x-h)^2+k…\)
\(\bullet\text{ Axis of Symmetry}\)
\(\,\,\,\,\,\,\,\,x=-\frac{b}{2a}…\)
\(\bullet\text{ Ellipses}\)
\(\,\,\,\,\,\,\,\,\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1…\)
\(\bullet\text{ Area of Ellipses}\)
\(\,\,\,\,\,\,\,\,\text{Area}=\pi a b…\)
\(\bullet\text{ Hyperbolas}\)
\(\,\,\,\,\,\,\,\,\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1…\)
\(\bullet\text{ Conic Sections- Completing the Square}\)
\(\,\,\,\,\,\,\,\,x^2+8x+y^2−6y=11 \Rightarrow (x+4)^2+(y−3)^2=36…\)
\(\bullet\text{ Conic Sections- Parametric Equations}\)
\(\,\,\,\,\,\,\,\,x=h+r \cos{t}\)
\(\,\,\,\,\,\,\,\,y=k+r \sin{t}…\)
\(\bullet\text{ Degenerate Conics}\)
\(\,\,\,\,\,\,\,\,x^2−y^2=0…\)