Key Features
What form is this equation in?
f(x)=4x2 + 5x + 9
What is standard form?
What information do the values of h and k provide about the graph of f(x) = (x-h)2 + k ?
The values of h and k determine the location of the vertex and the axis of symmetry of the parabola.
This is the equation for standard form.
What is y=ax2+bx+c?
In what form do you write the Vertical Motion model?
What is -16t2 + v0t + h0?
Can a parabola open sideways?
What is yes?
What do you call f(x) = x2 ?
What is parent function?
How does the value of a affect the graph of f(x) = a(x-h)2 + k ?
The sign of a affects the direction of the parabola in which way it opens up and how narrow or wide it is.
The y-intercept corresponds to which variable?
What is c?
In the Vertical Motion model, this is how you represent initial height.
What is h0?
What is the vertex of the graph?
f(x) = -1/4x2
What is (0, 0)
When a is negative, which way does the parabola open?
What is opens downward?
Find the vertex and axis of symmetry of the graph f(x) = -3(x-2)2 + 1
The vertex is (2,1) The axis of symmetry is x = 2
This equation is used to find the axis of symmetry.
What is x=-b/2a?
In the Vertical Motion model, this is how you represent initial velocity.
What is v0?
In the equation -16t2 + 8t + 10, what is the initial height?
What is 10ft. ?
What is the line called that cuts the parabola in half?
What is the axis of symmetry?
How does the graph of g(x) = x2 -6 compared to f(x) = x2
The graph of g(x) = x2 -6 is shifted down 6 units compared to f(x) = x2
The rate of change is represented by which variable?
What is a?
Logan Bays wants to buy a frame for a picture (of himself) and hang it on his wall. The picture is 12 inches tall and 8 inches wide. The frame is g inches thick all around the picture. Create an equation that represents the area of the framed picture.
What is 4g2 + 40g + 96?
In the equation -16t2 + 7t - 5, what is the initial velocity?
What is 7 s/ft ?
When a is positive, which way does the parabola open?
What is opens upward?
What is the vertex form equation?
What is f(x)=a(x-h)2+k?
What value is represented by the number 7 in the equation? f(x)=-2x2+7x+5
What is b?
In an area of a rectangle model, what type of polynomial do you use to represent the side lengths?
2 Binomials
Is the graph of the function
f(x) = 1/3x2 + 9x wider or narrower than the parent function f(x) = x2?
What is wider?