Graphs
Solving
Transformations & Other
Systems
Projectile Motion
100
Does this graph have a minimum or a maximum?
a minumum
100
Solve / Find the roots.
x = 3, x = 5
100
Describe the transformation from
f(x) = x2 to g(x) = (x - 9)2
g(x) shifted 9 units right
100
HOW MANY solutions does this system have?
2
100
The path of a ball follows the quadratic below.
What is the INITIAL HEIGHT of the ball?
0 because the y-intercept = 0
200
State the y-intercept:
y = 2
200
Solve: x2 - 8x + 12 = 0
x = 2 and x = 6
{2, 6}
200
State the axis of symmetry.
x = 2
200
HOW MANY solutions does this system have?
NO SOLUTIONS
200
The path of a ball follows the quadratic below.
What is the MAXIMUM HEIGHT that the ball reaches, in feet?
625 feet
300
State the vertex.
(-2, 5)
300
HOW MANY solutions does this quadratic equation have?
1 solution
300
Describe the transformation from
f(x) = x2 to g(x) = (x - 2)2 - 3
g(x) shifted 2 units right and 3 units down
300
HOW MANY solutions does the system have?
0
300
The path of a ball follows the quadratic below.
WHEN (after how many seconds) does the bill reach its maximum height? Your answer may be a decimal.
6.25 seconds
400
a). How many solutions does this quadratic function have? b). What is the solution(s)?
1 solution
x = -2
400
(4)
400
If using the quadratic formula, state a, b, and c for the equation below:
2x2 + 7 - 8x = 0
a = 2
b = -8
c = 7
400
STATE the solutions.
x = 1 and x = 4
400
The path of a ball follows the quadratic below.
HOW MANY SECONDS does it take for the ball to hit the ground? Your answer may be a decimal.
12.5 seconds