Is it a quadratic function? Why or why not? Explanation counts!
Is the following equation a quadratic? You must explain how you know. Explanation counts!!
y = 2x - 5
Not a quadratic because the highest exponent on the "x" variable must be 2 in order for it to be a quadratic
f(x) = 3(x+0)2 + 6
f(x) = 3x2 + 6
The following graph is _______ than the parent function.
f(x) = 2/3x2
wider
Write a quadratic equation with the vertex (0,0), that goes through the point (1,2)
f(x) = 2x2 or f(x) = 2 (x+0)2 + 0
What form is this equation written in?
y = mx + b
slope intercept form
Looking at a graph of a straight line, is it a quadratic function? You must explain why or why not!
Not a quadratic because the graph of a quadratic is a parabola, or curve.
f(x) = 2(x+1)2
f(x) = 2x2 + 4x + 2
The following graph is ________ than the parent function.
f(x) = -4x2
narrower
Write an equation for the function with a vertex (2,-8), that goes through the point (0,0).
f(x) = 2(x - 2)2 - 8 or f(x) = 2x2 - 8x
What shape graph is an absolute value function?
A V-shaped graph
Is the following equation a quadratic? why or why not? You must explain for it to count!
f(x) = 2 (x - 4)2 + 3
Yes it is a quadratic because it is in vertex form with the highest exponent on a variable being 2.
f(x) = 1/2 (x+2)2 - 1
f(x) = 1/2x2 + 2x + 1
The following graph is _______ in comparison to the parent function.
f(x) = - x2
facing down
Write an equation for the function with a vertex of (3,2), that goes through the point (1,8)
f(x) = 3/2 (x - 3)2 + 2 or f(x) = 3/2x2 - 9x + 15.5
What are Ms. Cloutier's dog's names?
Tucker and Trooper
Looking at a graph of a sideways parabola, is it a quadratic function? Why or why not? Explain your reasoning!!
No because the graph is not a function
f(x) = -3(x - 4)2 + 9
f(x) = -3x2 + 24x - 39
The following graph is ________ than the parent function, and shifts _______ 2 units and ________ 4 units.
f(x) = 3/2 (x - 4)2 + 2
narrower, up and right
Write an equation for the function whose vertex is at (-4, -5) and goes through the point (-2, -3).
f(x) = 1/2(x+4)2 - 5 or f(x) = 1/2x2+4x+3
When is Ms. Cloutier's birthday? Month and date.
+100 bonus points if you can get the year.
March 28th
1994
Looking at the set of points below, is the function a quadratic? Why or why not? Explanation counts!!
x y
5 4
4 3
3 0
2 3
1 4
0 11
yes it is a quadratic because you can see the points start to mirror each other around the vertex of (3,0)
f(x) = -2/3(x - 6)2 - 5
f(x) = -2/3x2 + 8x - 17
The following graph is _______ than the parent function and _______, and shifts ______ 3 units and ______ 7 units. The vertex is at ( , ).
f(x) = - 3/4(x + 3)2 - 7
wider, facing down, left, down and (-3, -7)
Write an equation for the function whose vertex is at (-3, 5), and goes through the point (2, -10). Make sure any fractions are FULLY SIMPLIFIED.
f(x) = -3/5(x + 3)2 + 5 or f(x) = -3/5x2 - 18/5x - 22/5
What is the formula for point slope? ORDER MATTERS!
y - y1 = m(x - x1)