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?
Compare the two equations and state the direction and number of units the parabola translates:
y = x2 + 4 translates to y = x2 + 1
What is 3 units down?
What is the name of the type of function 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 (5,0)?
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?
If the equation of a parabola is: y = (x + 2)2 - 7, how should the equation change if you want to move it 3 units to the left and 1 unit up?
What is: y = (x + 5)2 - 6?
This word is used to state the type of graph or line it represents.
What is parabola?
If a function, f(x) = ax2 is multiplied by -2, the new function will be narrower/wider and flip over the y-axis/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?
If the zeros of the function g(x) are {-3,0,4}, which function could represent g(x):
(1) g(x) = x(x - 3)(x + 4) or
(2) g(x) = x(x + 3)(x - 4)
What is choice (2)?
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 the equation in vertex form?
What is: (x + 4)2 + 5?
Change the following equation so the quadratic will translate 6 units to the right and 7 units up: y = (x - h)2 + k
What is: y = (x - 6)2 + 7?
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: (0,5)?
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)?
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?