Question

A quadratic equation has an x-squared term.

Sometimes

Always

Never

Answer 1

always; it is the definning characteristic

Answer 2

Compare and contrast the two quadratic equations below. In order to receive full credit, use complete sentences to describe the following:


y = x^2 − 2x
y = −2x^2 + 4x − 3

Answer 3

"compare and contrast" in what context? their graphs?

Answer 4

For convenience, let's name the quadratic equations:
Q1: y = x^2 − 2x = x(x - 2)
Q2: y = −2x^2 + 4x − 3

The graph of any quadratic equation is a parabola. The parabola opens upward for Q1 and downward for Q2. The x-intercepts for Q1 are (0,0) and (2,0) and there are no x-intercepts for Q2. The y-intercept for Q1 is (0,0), and the y-intercept for Q2 is (0,-3). The vertex for both Q1 and Q2 is (1,-1).

Answer 5

Which equation is a quadratic equation?

y = 2x(5 − x) + 7x

y = 8x + 2

y + x2 = (x − 2)(x + 8)

y − 7x = (x^2 + 1)(x − 3)

Answer 6

first and third are of degree 2, i.e., quadratic

Answer 7

What is the value of the coefficient "a" when the quadratic equation y = (3x − 4)(2x − 1) is written in standard form?

6

5

−11

−4

Answer 8

3x*2x=3x^2, the lead coefficient is considered to be a usually

Answer 9

Identify the vertex for the graph of y = 2x2 + 8x − 3.

Answer 10

3x*2x=6x^2, the lead coefficient is considered to be a usually