Magic Triangle
If Julissa walks 10 meters in 5 seconds, what is her velocity?
2 meters per second
What is the vertex of the following equation:
y = -(x-9)^2 + 4
(9, 4)
What is the name of this function?
y=x^2
Parent Function
What does the slope mean on a velocity vs. time graph?
Acceleration
What does the slope mean on a position vs. time graph?
Velocity
Hiranmayi runs 24 meters in 6 seconds. What was her velocity?
4 meters per second
What is the vertex of the following equation:
y = -2(x-2)^2 + 8
(2, 8)
Explain what is happening when going from the parent equation of
y=x^2
to
y = (x-5)^2
Shift 5 units to the right
Draw the velocity versus time graph for the following story:
Ruby was in her car and turned it on and started to drive slowly accelerating then hits speed 25 and stays there for some time. Then she sees a tree in the road and slams on her break quicky decelerating to a stop.
see the slide
Draw the position versus time graph for the following story:
Starting at her house Vanessa started walking to the park to play in a tennis game. Halfway there she realized she forgot to feed her cat so she ran home super fast and stayed there for a little bit to spend quality time with her cat. Then she got in her car and sped to the park so she didn't miss her game because now she was running late.
see picture
A rocket accelerates from rest to 25 m/s in 5 seconds. What is its acceleration?
5 meters per second squared
What is the vertex and the line of symmetry of the following equation:
y = -(x-1)^2 + 4
Line of symmetry: x = 1
Vertex: (1, 4)
Explain what is happening when going from the parent equation of
y=x^2
to
y = (x+8)^2
Shift 8 units to the left
In words, describe what the following velocity vs. time graph means:
Increasing speed, constant speed, increasing speed
In words, describe what the following position vs. time graph means:
you can use a story
starting at the park then walking away at a constant speed, then stopping for a break, then walking all the way home at a constant, faster speed
A toy rocket launcher applies a force of 25 N and produces an acceleration of 5 m/s². What is the mass of the rocket?
5kg
What is the vertex and the line of symmetry of the following equation:
y = -(x+9)^2 - 8
Line of symmetry: x = -9
Vertex: (-9, -8)
Explain what is happening when going from the parent equation of
y=x^2
to
y = x^2 + 1
shift up one unit
Going from the parent equation of
y=x^2
to
y = 0.75(x)^2
Parabola becomes wider
Match the words to the numbers
see slide
A bottle rocket experiences a force of 18 N and has a mass of 3 kg. What is its acceleration?
6 meters per second squared
Name each of the states Julissa, Hiranmayi, and Jessica are from:
Illinois, Wisconsin, and California
Explain what is happening when going from the parent equation of
y=x^2
to
y = -(x)^2
goes from opening upward to opening downward
Going from the parent equation of
y=x^2
to
y = 7(x)^2
Parabola becomes narrower
Draw the following equation on a graph:
y = -(x-2)^2 +4
Then write at what interval the function is increasing and at what interval the function is decreasing.
Increasing from (-1, 1)
Decreasing from (1, 3)