8.4B Vertex Form comp.notebook
March 08, 2017
8.4B Vertex Form for Quadratics Ex. 1 Describe the transformation from g(x)=x2 to f(x)=5(x­4)2­45
TRY Describe the transformation from g(x)=x2 to f(x)=3(x+2)2+4
f(x)=a(x­h)2+k
Vertex (h,k) Axis Symmetry x=h
zeros ­ square roots
Ex. 2 Find the vertex, axis of symmetry, y intercept and zeros of f(x)=5(x­4)2­45
TRY Find the vertex, axis of symmetry,y intercept and zeros of f(x)=­2(x­1)2+8
TRY Find the vertex, axis of symmetry,y intercept and zeros of f(x)=3(x+2)2 + 4
Mar 16­6:36 PM
8.4B Vertex Form comp.notebook
March 08, 2017
We can put a quadratic in standard form into vertex form easily by completing the square.
Ex. 3 Rewrite f(x) = ­ 2x + x2 ­ 3 in vertex form. Ex. 4 Using above, find the vertex, axis of symmetry and zeros, y­intercept and sketch a graph of f(x) = ­ 2x + x2 ­ 3. Mar 16­6:36 PM
8.4B Vertex Form comp.notebook
March 08, 2017
TRY Rewrite f(x) = x2 ­ 8x + 12 in vertex form. TRY Using above, find the vertex, axis of symmetry and zeros, y­intercept and sketch a graph of f(x) = x2 ­ 8x + 12 EX Find the vertex, axis of symmetry and zeros, y­
intercept and sketch a graph of f(x) = 3x2 ­ 12x + 5 Mar 16­6:36 PM
8.4B Vertex Form comp.notebook
March 08, 2017
Ex.5 Write an equation for a parabola that has a vertex of (­1,­3) and contains the point (1,5).
TRY Write an equation for a parabola that has a vertex of (5,1) and contains the point (2,­8). Mar 16­6:36 PM