Which is the wider function:
f(x) = 2x^2 g(x) = 4x^2
f(x)
100
Solve: x^2 + 6x + 5 = 0
x = -5 or -1
100
Solve: x^2 + 2x = 48
x = -8 or 6
100
SING the quadratic formula
negative b plus or minus square root b square minus four a c over two a...
200
y = -4x + 3
NO!
200
Which is the narrowest function?
f(x) = 3x^2 - 4 g(x) = x^2
g(x)
200
Solve: x^2 + 9x + 14 = 0
x = -7 or -2
200
Solve: x^2 + 4x = 21
x = -7 or 3
200
Solve: 2x^2 - 9x - 5 = 0
x = -1/2 or 5
300
y = 5x^3 + 8
NO!
300
Which is the narrower function:
f(x) = 6x^2 g(x) = -6x^2
The are the same width!
300
Solve: x^2 - 2x - 15 = 0
x = -3 or 5
300
Solve: 2x^2 - 12x + 10 = 0
x = 1 or 5
300
Solve: 4x^2 - 8x + 4 = 0
x = 1
400
y = 1/2x^2
YES
400
List these functions in order from narrowest to widest:
f(x) = x^2 g(x) = 1/3x^2 h(x) = 3x^2
h(x), f(x), g(x)
400
Solve: 4x^2 - 36x = -81
x = 4.5
400
Solve: x^2 - 10x = -20
x = 5 + sqrt5 or 5 - sqrt5
400
Solve: x^2 - 6x = -7
x = 6 + sqrt8/2 or 6 - sqrt8/2
500
5x + 6y = 2
NO
500
Compare the graph of f(x) = x^2 to g(x) = 3x^2 - 1
-f(x) is wider, g(x) is narrower
-g(x) is translated 1 unit down
-Same AOS
-both open upwards
500
A rectangle is 2 feet longer than it is wide. The area of the rectangle is 48 square feet. Find the width of the rectangle.
width = 6 feet
500
A homeowner is planning an addition to her house. She wants the new family room to be a rectangle with an area of 192 square feet. The contractor says that the length needs to be 4 more feet than the width. what will the dimensions of the new room be?