Question

Whic of the following is a quadratic function?
a. y = x2 – 20
b. y = x3 – 25x
c. y = x4 + 13x
d. y = x – 49

Find the vertex of the parabola formed by the following quadratic function: y = 3x2 – 6x + 2
a.(1, -1)
b.(-1, 11)
c.(-3, 47)
d.(3, 11)

Find the vertex of the parabola formed by the following quadratic function: y = -2x2 + 6x – 1
a.(3, -1)
b. (3/2, 7/2)
c.(-3, -37)
d.(-3/2, -29/2)

Identify the quadratic function that forms the graph of the parabola below:
a. y = -x2 + 2x + 8
b.y = -x2 – 2x + 8
c. y = x2 + 2x – 8
d.y = x2 – 2x – 8

Identify the quadratic function

Answer 1

Quadratic equations/polynomials have a degree of 2. That means x^2 is the highest degree variable in the polynomial.

Answer 2

@bruisedapple ... try solving the question with the information that @iPwnBunnies has given

Answer 3

At least #1...I'm not into the next 3.

Answer 4

The next three probably rely on diagrams not given, but you can do #2 and #3 with pretty basic calculus... #2 is (1, -1), #3 is (3/2, 7/2).

For #4 just answer the following--
-Is the parabola a U-shape? If so, it must be +x^2, if it's like an "n" shape, it must be -x^2
-Is the "vertex" to the right of the y-axis, or the left? If it's to the left, then it must be -2x, if it's to the right, it must be +2x
-At x = 0, is the function at +8, or -8? That'll tell you whether it's +8 or -8.

Hope this helps