April 14, 2015
Hot Seat
Worked out solutions at the end of the presentation
April 14, 2015
1) the graph of a quadratic function is a U-shaped figure
called a ______________
2) The maximum or minimum value of the parabola is called the
___________
April 14, 2015
3) Given y = 2(x+3)2 -1
a) Identify the vertex:
b) state whether it opens up or down
c) is it skinnier (vertical stretch), wider(vertical shrink), or the
same width as the parent function f(x) = x2
4) given f(x) = .3(x-7)2 + 8
describe how this differs from
the parent function f(x) = x2
April 14, 2015
5) A parabola has a vertex of (2,1). One point on the
parabola is (0,-3). What point is directly opposite this
point (across the axis of symmetry)
6) f(x) = 2x2 + 4x - 2
Find the axis of symmetry
find the vertex
April 14, 2015
7) f(x) = 2x2 + 4x - 2
make a table and graph.
April 14, 2015
8) Solve m2 + 7 = 88
9)
10)
11)
12) x2 - 75 = 0
April 14, 2015
13) A ball is dropped from a height (h0) of 128 feet. The
function that gives the height of the ball at a specific time is
h(t)=-16t2+h0. Knowing that the ball was dropped from 128
feet, find the elapsed time until the ball hits the ground.
14) Simplify 63
15) Simplify 80
April 14, 2015
16) Does this function have a
maximum or minimum value?
f(x) = 6(x-3)2 + 8
How do you know?
April 14, 2015
17) An apple is launched directly upward at 64 feet per
second from a platform 80 feet high. The equation for this
apple's height (h) at time (t) seconds after launch is:
h = -16t2 + 64t + 80
a) How long will it take the apple to reach its maximum height
b) Find the maximum height of the apple:
April 14, 2015
Solutions
1) parabola
2) vertex
7) vertex (1,-4)
5) (4,-3)
x y
-3 4
-2 -2
6) x = -1; (-1,-4)
-1 -4
3) a) (-3,-1); b) up; c) skinnier
4) wider, right 7, up 8
0 -2
1 4
April 14, 2015
8) m = 9; m=-9
9) p = 8 ; p = 0
10) k= 2; k = -1
11) m = 5; m= -2
12) 5 3; -5 3
13) approximately 2.8
14) 3 7
15) 4 5
16) minimum |a| > 0
17) a) 2 seconds
b) 144
April 14, 2015
1) the graph of a quadratic function is a U-shaped figure
called a ______________
2) The maximum or minimum value of the parabola is called the
___________
April 14, 2015
3) Given y = 2(x+3)2 -1
a) Identify the vertex:
b) state whether it opens up or down
c) is it skinnier (vertical stretch), wider(vertical shrink), or the
same width as the parent function f(x) = x2
4) given f(x) = .3(x-7)2 + 8
describe how this differs from
the parent function f(x) = x2
April 14, 2015
5) A parabola has a vertex of (2,1). One point on the
parabola is (0,-3). What point is directly opposite this
point (across the axis of symmetry)
6) f(x) = 2x2 + 4x - 2
Find the axis of symmetry
find the vertex
April 14, 2015
7) f(x) = 2x2 + 4x - 2
make a table and graph.
April 14, 2015
8) Solve m2 + 7 = 88
9)
10)
11)
12) x2 - 75 = 0
(2m-3)2 = 49
2m-3 = 7 2m-3=-7
2m = 10
m =5
2m = -4
m = -2
April 14, 2015
13) A ball is dropped from a height (h0) of 128 feet. The
function that gives the height of the ball at a specific time is
h(t)=-16t2+h0. Knowing that the ball was dropped from 128
feet, find the elapsed time until the ball hits the ground.
14) Simplify 63
15) Simplify 80
April 14, 2015
16) Does this function have a
maximum or minimum value?
f(x) = 6(x-3)2 + 8
How do you know?
April 14, 2015
17) An apple is launched directly upward at 64 feet per
second from a platform 80 feet high. The equation for this
apple's height (h) at time (t) seconds after launch is:
h = -16t2 + 64t + 80
a) How long will it take the apple to reach its maximum height
b) Find the maximum height of the apple:
April 14, 2015