Interpreting an Equation
What term in this equation represents the y-intercept: y = 16t2 + 6t + 3?
What is 3?
True or False: The vertex of a parabola will always be a maximum or minimum.
What is True?
This equation is an example of what form:
y = ax2 + bx + c
What is Standard Form?
Describe the transformation of this parabola from y = x2
y = 2x2 + 4
Vertical stretch by a factor of 2
Vertical Shift 4 units up
What is the name of the type of relationship we're learning?
What is Quadratic?
If you are given the equation, y = x2 - 4x - 5, what is the coordinate you would use to graph the y-intercept?
What is (0,-5)?
True or false: The axis of symmetry of a quadratic equation always begins with x =...?
What is True?
What are the three types of forms for a quadratic equation?
What are: standard, factored, and vertex form?
Describe the transformation of this parabola from y = x2
y = (x+2)2 - 7
Horizontal Shift 2 units left
Vertical Shift 7 units down
This word is used to state the type of graph or line it represents.
What is parabola?
If a quadratic, y = x2 is multiplied by -2, the new graph will be (narrower or wider) and flip over the (y-axis or x-axis)?
What is: narrower and x-axis?
What is the vertex of this equation:
y = (x - 7)2 + 4
What is (7,4)?
This form you can determine the parabola's roots.
What is factored form?
If the original equation is y = (x - 3)2 - 1 and after a transformation the new equation is y = (x - 3)2 + 5, in what direction and how many units did the parabola move?
What is 6 units up?
This word means the highest or lowest point of the parabola.
What is vertex?
A quadratic relationships is represented by:
y = 2x2+3x-5
What is the y-value of a point if it's x-value is 3?
What is 22?
Determine the roots of an equation if the axis of symmetry is x = 2 and the parabola crosses the x-axis by 3 units in both directions.
What are: (-1,0) and (5,0)?
If the vertex of an equation is (-4, 5), what is a possible equation in vertex form?
What is: y=(x + 4)2 + 5?
'a' can be any value, here it is 1.
In a table of values, how would you know you have a quadratic relationship?
If the 2nd differences are constant
This part of the parabola cuts it evenly down the middle.
What is the axis of symmetry?
How will you change the equation, y = x2 - 8, so that it flips over the x-axis?
What is, by adding a negative in front of x2 to get:
y = -x2 - 8
Determine the axis of symmetry from the following:
y = x2 + 5
What is: x = 0
If the roots of an equation are -6 and 3, determine the equation of the quadratic in factored form.
What is: y = (x + 6)(x -3)?
Write an equation for parabolas that has a vertical reflect, is shifted 3 units down and 2 units to the left. Start with y = x2.
What is: y = -(x + 2)2 - 3?
What are the two different words used to describe where the parabola crosses the x-axis? They both mean the same thing.
What are roots and zeroes?