5 Questions – 5 points You have 1 minute per question. Good luck. Jumpstart your brain! 5 Questions – 5 points You have 1 minute per question. Good luck.

REMEMBER NO WORK NO CREDIT

READY SET GO!

Show the work! Which equation has a graph that opens downward? a) y=3x2-2 b) y=2-3x2 c) x=3y2-2 d) x=2-3y2

Show the work! 2) Find the vertex of the parabola with equation y=-2(x-2)2+3.

Show the work! 3) Which equation has the an axis of symmetry of y=-4? a) y=-3(x-4)2+5 b) y=-3(x+4)2+5 c) x=-3(y-4)2+5 d) x=-3(y+4)2+5

Show the work! 4) Which equation matches the graph? y=-(x-4)2+2 x=-(y-4)2+2 x=-(y-2)2+4

Show the work! 5) What is the vertex of the parabola defined by: x = –7(y + 3)2-6?

Pass your quiz forward. Thank you for participating.

8-2 Parabolas-Day 2

Recall…Graphing a Parabola Step 1) Determine how it opens Step 2) Draw axis of symmetry Step 3) Plot vertex Step 4) Plot one or two more points, reflect & connect

Example: Graph y=(x-3)2-4 Since y=a(x-h)2+k, we know that a=1, h=3, k=-4 Step 1) a=1 > 0…opens up Step 2) Step 3) Vertex: (h,k)=(3,-4) Step 4) x y 4 (4-3)2-4=-3 5 (5-3)2-4=0

Change to standard form… Change y=x2+2x+2 to standard form. Isolate where you will complete the square Complete the square add (b/2)2 Write squared term Force the - sign

Change to standard form… Change y=2x2-12x+19 to standard form. Isolate where you will Complete the square Factor 2 from x terms Complete the square Write squared term

Change to standard form… Change 4x-y2=2y+13 to standard form. The y term is squared, so isolate the x term Complete the square Write squared term Divide by 4, force - sign

Change y-3x2=24x+50 to standard form Isolate the y term Factor 3 from the x terms Complete the square Write squared term Force the - sign

Graph y-3x2=24x+50 … (a=3, h=-4, k=2) Step 1) a=3 > 0…opens up Vertex=(h,k)=(-4,2) Step 4) x y -3 (-3--4)2+2=3 -2 (-2--4)2+2=6

Homework Parabola Worksheet #2 Complete the chart. When graphing, clearly label 5 points (one will be the vertex) and draw the axis of symmetry