Compare to the Parent Function
Key Features
Vertex Form
Projectile Motion
Miscellaneous
Understanding the Parabola
100
Describe how the parabola of the function f(x) = 3x^2 compares to the parent function.
What is it will be more narrow?
100
The c value of the standard equation f(x) = ax^2 + bx + c represents what key feature of the parabola?
What is the y-intercept?
100
What is the coordinate of the vertex?
f(x) = 3(x - 4)^2 + 7
What is (4,7)?
100
Write the quadratic equation that represents the following situation:
Jeff throws a ball from a height of 5 feet with an upward initial velocity of 42 feet per second.
What is h(t) = - 16t^2 + 42t + 5?
100
The formula used to calculate the Axis of Symmetry from the standard form equation is
What is x= -b/2a?
100
What do we call the point where an object is launched, kicked, hit from?
What is the y-intercept?
200
Describe how the parabola of f(x) = -1x^2 compares to the parent function.
What is it will have the same width but it will open down.
200
When the parabola opens down, the vertex is called what?
What is a maximum?
200
What is the vertex using the equation f(x) = -2(x + 6)^2
What is (-6,0)?
200
Write the quadratic equation that represents the following situation:
Matt hits a golf ball off the ground with an upward initial velocity of 80 feet per second.
What is h(t) = -16t^2 + 80t?
200
This equation will open in what direction?
f(x) = -.5x^2 - 9
What is opens DOWN?
200
A projectile is fired into the air and follows this path. What is the maximum height of the object?
What is 6.25 feet.
300
Describe the transformation of the vertex of the parent function when the quadratic equation is f(x) = x^2 - 3.
What is the vertex translates (shifts) 3 units down from the origin?
300
What special feature cuts the parabola in half?
What is the line of symmetry or axis of symmetry?
300
What is the equivalent standard form of f(x) = 6(x - 2)^2 + 8
What is 6x^2-24x+20?
300
Write the quadratic equation that represents the following situation:
Sharon throws a rock from a bridge that is 100 feet high with an upward initial velocity of 101 feet per second.
What is h(t) = -16t^2 + 101t + 100 ?
300
James goes to Home Depot to choose carpet for his square room. His favorite option costs $4.58 per square foot. Write the equation that will determine the total cost of this carpet for ANY square room.
What is f(x) = 4.58x^2?
300
Assuming the units are (time in seconds and Height in feet), how long was this object in the air?
What is 1 second?
400
Describe the transformation of the vertex of the parent function when the quadratic equation is f(x) = (x - 5)^2
What is the vertex shifts (translates) 5 units to the right from the origin?
400
Points such as (4,0) and (-9,0) are called what?
What are x-intercepts?
400
What is the equivalent standard form of the equation f(x) = -5(x + 3) - 10 ?
What is f(x) = -5x^2 - 30x - 55?
400
Write the quadratic equation that represents the following situation:
Stephanie drops a ball from a height of 35 feet.
What is h(t) = -16t^2 + 35?
400
George the contractor charges $450 to tile each square foot a floor. Write the equation that will determine the extremely unreasonable total cost of this tile for ANY square room.
What is f(x) = 450x^2?
400
Assuming the units are (time in seconds, height in feet), how high was the object when it was launched?
What is 4 feet?
500
What is the equation of the parent function?
What is f(x) = 1x^2 or f(x) = x^2?
500
The graph of a quadratic function changes from decreasing to increasing at this point
What is the vertex?
500
The axis of symmetry for the equation f(x) = -4(x - 7)^2 + 9 is
What is x =7?
500
Write the quadratic equation that represents the following situation:
Bobby drops a piano from a height of 70 feet.
What is h(t) = -16t^2 + 70?
500
What is the vertex and equation of the axis of symmetry for the equation
f(x) = 7(x + 9)^2 - 3 ?
What is the vertex is (-9, -3) and the Axis of Symmetry is x = -9 ?
500
What do we call the point where an object lands on the ground?
What is the x-intercept?