Factoring to Calculate the Roots
Factor to calculate the roots to the following quadratic:
x2 - 5x - 14 = 0
x = 7 x = -2
What is the y-intercept for the quadratic function?
x2 + 5x - 12 = y
y-intercept = -12
1.
Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function y=-16x2+16x+480, where x is the time in seconds and y is the height in feet.
How long did it take for Jason to reach his maximum height?
.5 seconds
Factor to calculate the roots to the following quadratic:
x2 + 3x + 2 = 0
x = -2 x = -1
What are the roots the quadratic function?
x2 - 6x + 12 = 0
no roots
Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function y=-16x2+16x+480, where x is the time in seconds and y is the height in feet.
What was Jason's maximum height?
484 ft
Factor to calculate the roots to the following quadratic:
x2 - 6x + 5 = 0
x = 5 x = 1
What is the vertex for the quadratic function?
x2 - 5x - 14 = 0
(2.5, -20.25)
Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function y=-16x2+16x+480, where x is the time in seconds and y is the height in feet.
What is the height of the cliff?
480 ft
Factor to calculate the roots to the following quadratic:
x2 - 6x - 27 = 0
x = 9 x = -3
What is the line of symmetry for the parabola?
2x2 + 4x - 8 = 0
x = -1
Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function y=-16x2+16x+480, where x is the time in seconds and y is the height in feet.
How long did it take for Jason to reach the water?
6 seconds
Factor to calculate the roots to the following quadratic:
2x2 - 5x - 3 = 0
x = -1/2 x = 3
Calculate the y-intercept, vertex, roots, and line of symmetry for the quadratic.
x2 + 2x - 6 = 0
y-intercept: -6
vertex: (-1, -7)
roots: -3.646 and 1.646
line of symmetry: x = -1
Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function y=-16x2+16x+480, where x is the time in seconds and y is the height in feet.
Why does only one root make sense with this word problem?
You cannot have negative time.