Question

Part 1:
Solve each of the quadratic equations below and describe what the solution(s) represent to the graph of each. Show your work to receive full credit.

y = x2 + 3x + 2
y = x2 + 2x + 1
Part 2:
Using complete sentences, answer the following questions about the two quadratic equations above.
Do the two quadratic equations have anything in common? If so, what?
What makes y = x2 + 3x + 2 different from y = x2 + 2x + 1?

Answer 1

y = y
x^2+3x + 2 = x^2 + 2x + 1
3x + 2 = 2x + 1
x = -1
y = 0

So they intersect at the point(-1,0)

Answer 2

That's what they have in common

Answer 3

Thankyou. Is that the answer?

Answer 4

They also have different vertexes, different axes of symmetry and different x and y intercepts

Answer 5

In addition to that, they have different factors.

Similarities
1. Both quadratics
2. Both intersect at same point (-1,0)

Differences:
1. Different axes of symmetry
2. Different x and y intercept
3. Different factors

Answer 6

Okay thankss

Answer 7

Well....

y = x2 + 3x + 2 factors to (x+1)(x+2)
y = x2 + 2x + 1 factors to (x+1)(x+1)

so they actually do have a common factor. That's another similiarity

Answer 8

That's all I need but thankyou!

Answer 9

Actually make sure you add that they have the common factor. That's a key thing to include.

Answer 10

For which value of x does the graph of y = 2x2 − 7x + 6 cross the x-axis?

Answer 11

Do you know how to factor that?

Answer 12

yeah

Answer 13

Well factor it....

Answer 14

But post it on here

Answer 15

7/4

Answer 16

y = 2x2 − 7x + 6
y = 2x^2-4x-3x+6
y = 2x(x-2)-3(x-2)
y=(x-2)(2x-3)

x = 2, 3/2

Answer 17

thanks. How can you tell when a quadratic equation has no real solutions?

Answer 18

If the value of the discriminant is a negative number, then the quadratic has no real solutions