Algebra IIChapter 2 Study Team Strategy

Hot Seat

Objective: Prepare for the Chapter 2 TAPS tomorrow 2-2-16 & Individual Test Wednesday 2-3-16

Write a quadratic equation for a graph opening downward, compressed vertically by a factor of 1/4, with a vertex at (6, -2)

2)6(41 2 xy

Write a quadratic equation of a parabola (in graphing form) with vertex at (3, 4) & passing through the ordered pair (5, 3)

4)3(41 2 xy

Write an absolute value equation for a graph opening upward, stretched by a factor of 3, with a vertex at (-7, 3)

373 xy

Use averaging the intercepts to find the vertex, then graph the equation. SHOW ALL WORK! 0432 xx

0)1)(4( xx1,4 x

5.123

214

x 25.64)5.1(3)5.1( 2

)25.6,5.1( Vertex

Identify the vertex, exact x-intercepts, and draw the graph: 60)1(3 2 xy

)60,1( vertex60)1(30 2 x

2)1(20 x

152 x x 521

Write an equation for each parabola described below. a. A parabola with a stretch factor of 4, with the vertex at (–5, 0).

b. A parabola with a vertex at (4, -2), negative orientation, and a vertical stretch of 5.

2)5(4 xy

2)4(5 2 xy

Draw a graph of the piecewise function:

Give the equations and domain of the graph below:

Find the equation in graphing form of a parabola with a vertex at (2, 3) and passes through the ordered pair (5, 6)

3)2(31 2 xy

Describe the transformation from the parent function

xy 1

921

x

y

Reflection over the x-axis , shift locator point right 2 units and up 9 (asymptotes at x = 2 and y= 9)

Find f(-x) & -f(x) then state if the function is odd/ even / neither.

123)( 3 xxxfGiven

1231)(2)(3 33 xxxx

123)123(1 33 xxxx

NEITHER

Use inverses to solve for the exact x-intercepts.

22)3(2 2 xy

113x

&

113 x

Or decimals!