Show:
Where to start?
The First Dimension
Etches, Sketches, and Graphs
Free Fallin'
Parameters, Parameters
100
The first step in solving the equation b2-4b=5.
What is subtracting 5 from both sides?
100
The solutions to the equation (x-8)(x+3)=0.
What are 8 and -3?
100
This is the name of a quadratic graph.
What is a parabola?
100
The ground usually represents this height.
What is 0?
100
This expression is used to determine the number of roots of a quadratic equation.
What is b2-4ac, also known as the discriminant?
200
This is the first step in finding the minimum value of the equation f(x)=8x2-2x+1.
What is finding the axis of symmetry (by using -b/2a)?
200
The solutions to the equation x2=15.
What are plus or minus the square root of 15?
200
This is a sketch of a parabola with vertex at (1, 3), opening upwards.
What is [graph]?
200
This equation is used to calculate the height of an object in free fall.
What is h =-5t2+vt+x?
200
This parameter describes the steepness and direction of the parabola.
What is a?
300
This is the first step in finding the number of roots of y=-x2+8x-10.
What is calculating b2-4ac, also known as the discriminant?
300
The solutions to x2-6x=40.
What are 10 and -4?
300
This is another point on a parabola with axis of symmetry x=3 and containing the point (0, 5).
What is the point (6,5)?
300
Approximately 10 m/s2.
What is the acceleration due to gravity on the Earth's surface?
300
This equation highlights the vertex of an equation. (The name of the equation is not enough.)
What is y=a(x-h)2+k?
400
The first step in solving: f(x)=x2+10x+9. If f(3x)=f(x+3), what is x?
What is substituting 3x and x+3 into the formulas?
400
The solutions to 2x2-5x+1=0.
What are (5 + sqrt[17])/4 and (5 - sqrt[17])/4?
400
This is how to find the range of a quadratic graph.
What is to look at the y-coordinate of the vertex and write an inequality listing all possible y-coordinates?
400
This is the time, in seconds, that it takes a model rocket to return to the Earth, if its height is modeled by the equation h=-5t(t-18).
What is 18 seconds?
400
This parameter represents the y-intercept of a parabola.
What is c?
500
This is the first step in completing the square on ax2+bx+c=0.
What is dividing the equation by a?
500
This is the method of proving the Quadratic Formula.
What is Completing the Square?
500
This is the graph of y=x2-4x+3.
What is [graph]?
500
This is the length of time it takes a burrito to reach the ground if it is dropped from the height of 260 meters. h=-5t2+260
What is 8 seconds?
500
This is the result of converting the vertex form equation (y=a(x-h)2+k) into standard form. Hint: Multiply (x-h)2.
What is y=ax2-2axh+ah2+k?