Parabola Graphs

1)What is the axis of symmetry of the equation

y=4x²-16x +5?

• x = -2

• y = -2

• x=2

• x = 4

What is the vertex of the equation y =-5x² +100x -7

• (10,493)

• (0,-7)

• (-10,-1507)

• (20,-7)

3) Which 5 points could be used to graph the parabola with an equation of y = -3x² +12x -5?

• (1,9)(2,11)(3,15)(4,11)(5,9)

• (0,-5)(1,4) (2,7) (3,4) (4,-5)

• (-5,-20)(-4,-16)(-3,-11)(-2,-16)(-1,-20)

• (-2,4)(-1,1)(0,0)(1,1)(2,4)

4) Which 5 points could be used to graph the parabola

y =x² -8x +1

• (2,21)(3,34)(4,49)(5,34)(6,21)

• (-6,85)(-5,66)(-4,49)(-3,34)(-2,21)

• (3,-12)(2,-15)(1,-16)(0,-15)(-1,-12)

• (2,-11)(3,-14)(4,-15)(5,-14)(6,-11)

5) A boys rides a kids' roller coaster and the equation

f(x) = -x² +16x represents the ride on the roller coaster, when x = time in seconds and f(x) = height in feet. Which information below is correct?

• The boy reaches a maximum height of 48 feet at 4 seconds

• At 5 seconds the boys is 50 feet in the air

• The boy reaches a maximum height of 64 feet at 8 seconds

• At 11 seconds the boy will be at 128 feet high

6) The equation h(t) = -16t² +128t + 5 represents the height of a ball h(t), after t number of seconds. Which option shows the correct seconds and heights of the ball?

• 7 seconds and 117 feet

• 3 seconds and 126 feet

• 5 seconds and 197 feet

• 8 seconds and 10 feet

7) A toy rocket is modeled by the equation y = -x² +10x and a flare is modeled by the equation y = 10 - x, where y = height in feet and x is the number of seconds. Find all times and heights when the flare would intersect the path of the rocket.

• 6 seconds at 24 feet

• 1 second at 9 feet

• 7 seconds at 21 feet and 8 seconds at 2 feet

• 1 second at 9 feet and 10 seconds at 0 feet

8) Find the vertex of y =6x² -48x -14

• (-4,274)

• (4,-110)

• (-2,106)

• (2,-86)

9) What is the axis of symmetry of y =x² + 14x -8

• y = -7

• x = 7

• y = 7

• x = -7

10) What is the lowest point the graph

y = 3x²-24x + 11 will reach?

• (1,-10)

• (3,-34)

• (6,-40)

• (4,-37)