A 8-7 Pre-Drill

Calculate if…

Calculate if… and and and and and

Calculate if…

A 8-7 Pre-Drill

Calculate if…

Calculate if… and and and and and

Calculate if…

Calculate if… and and and and

Calculate−(−7 )±5

2

Calculate if… and and and and

Calculate−(−7 )±5

2

A 8-7AStd5c: I can graph quadratic functions.AStd5b: I can solve quadratic equations using the Zero Product Property and the Quadratic Formula

If Then

Solve for x. By factoring

By using the quadratic formula. a=_____b=_____c=_____

A 8-7AStd5c: I can graph quadratic functions.AStd5b: I can solve quadratic equations using the Zero Product Property and the Quadratic Formula

If Then

Solve for x. By factoring

By using the quadratic formula. a=_____b=_____c=_____

A 8-7 Name___________________________________BDFM?___________Why?_____________________________AStd5c: I can graph quadratic functions.AStd5b: I can solve quadratic equations using the Zero Product Property and the Quadratic Formula1. Solve for x.

aacbbx

242

aacbbx

242

By factoringBy using the quadratic formula. a=_____b=_____c=_____

2. Solve for x. By factoring

By using the quadratic formula. a=_____b=_____c=_____

After studying the two quadratic equations, decide which strategy (factoring or quadratic formula) is best to try first. Write justifications for your choices to solve each problem using the method you chose.3. 0=x

2+15 x+36 4. 0=0 .1 x2+12 x+36

5. Use the calculator steps below to graph and investigate y=−x2+2x+8TI-84+ Calculator steps for graphing1. Press ‘Y=’2. Type in‘−x

2+2 x+8 ’3. Press ‘GRAPH’ to see the graph4. Press ‘2ND' and

Graph Summaryx-intercepts

line of symmetry

y-intercept

0672 xx

then ‘GRAPH’ to see the table

Tablevertex

Match the equation on the left with the information on the right.

a. Vertex form: y=( x−7 )2+14 6. ____________ y-intercept (0, 11)

b. Vertex form: y=( x+9)2−6 7. ____________ vertex (-9, -6)

d. Factored form: y=( x+11)( x−5 )8. ____________ x-intercepts (6, 0) and (-2, 0)

e. Factored form: y=( x−6 )( x+2 )9. ____________ y-intercept (0, -8)

g. Standard form: y=x2+3x+11 10. ____________ vertex (7, 14)

h. Standard form: y=x2−4 x−8 11. ____________ x-intercepts (-11, 0) and (5, 0)

12. Examine the parabola and the quadratic rules below. Determine which rule(s) is(are) the correct match for the graph. Justify your choice. For each rule that does not match, explain how you know it doesn’t.

a.y=−x2+4 x−1

b.y=x2−9 x+8

c. y=( x−1)( x−8)

d. y=( x+1)( x+8)

Solve for x.13. ( x−4 )

2=25 14. ( x+1)2=5

x y-3-2-10123