Graphical Features
Find the Zeroes
Vocab, etc.
Find the zeros cont…
Word Problems
100
What value of a would make the graph of f(x)=ax2 Up?
a. -8
b. 0
c. -1/2
d. 8
D
100
Find the zeroes of the function:
y=-4(x-2)(x-6)
{2,6}
100
What is the name of the point that is the minimum or the maximum of a quadratic function?
The vertex
100
4x2+25=125
{-5,5}
100
The function y=-16t2+40 represents the height of a water droplet. After how many seconds does the water droplet hit the ground? Round your answer to two decimals places.
1.58 seconds
200
Which of the following equations has an axis of symmetry at x=-5
a. F(x)=x2+10x+9
b. F(x)=x2-5x+9
c. F(x)=x2-10x-75
d. F(x)=x2-5x-16
A
200
Find the zeroes of the function:
y=4x2+5x+1
{-1,-1/4}
200
This line divides the graph of a parabola in half.
The axis of symmetry
200
(4x+1)2-16=0
{-5/4,3/4}
200
The function y=-16t2+50t+4 describes the height in feet of a discus. What is the maximum height of the discus and when will it hit the ground?
Max height: 43.06 feet
x=3.2 seconds
300
What is the axis of symmetry?
X=2
300
Which is a factor of the trinomial x2+6x-27
a. X-19
b. X+9
c. x-9
d. x+3
B
300
What are the steps to finding the maximum value or maximum height in a quadratic function?
1. -b/2a
2. Plug in to find y
300
3x2+7x=40
{-5,8/3}
300
The function h=-16x2+64 represents the height of a falling ball.
A. From what height was the ball dropped?
B. After how many seconds will it reach the ground?
A. 64ft
b. 2 seconds
400
What is the minimum value of the quadratic function?
y=x2+6x+5
-4
400
Which quadratic function has zeros of -4 and 7?
a. Y=2x2-6x-56
b. Y=x2+3x-28
c. Y=3(x-4)(x+7)
d. Y=x2-3x+28
A.
400
Name three methods we have learned to solve quadratic equations.
Snowflake
difference of squares
square roots
graphing
quadratic formula
400
x2-10x+26=8
5-sqrt7
5+sqrt7
400
The function y=-16t2+32t represents the height of a bouncy ball. Can the ball clear a wall that is 14 feet tall? If so, by how much?
Yes, by 2 feet
500
Find the axis of symmetry and the vertex of the function.
Y=(1/2)x2+10x+29
x=-10
(-10,-21)
500
What is the PRODUCT of the two solutions to the quadratic equation (x-2)(x-6)=-3?
15
500
Y=ax2+bx+c
Which value (a, b, or c) tells you the initial height in a projectile motion problem?
C
500
0=3(x+7)2-27
{-10,-4}
500
A diver is standing on a platform 24 feet above the pool. He jumps from the platform with an initial upward velocity of 8ft/sec.
A. Write an equation to describe the height of the diver.
b. When will the diver hit the water?
A. Y=-16x2+8x+24
b. 1.5 seconds