Question

Can someone tell me if I'm right?

Answer 1

I think it's C

Which graph correctly solves the system of equations below?

y = – x^2 + 1

y = x^2 – 4

A. https://lss.brainhoney.com/Resource/22181743,AD2,0,C,3,0/Assets/72257_53b5b170/0608_g8_q3a.jpg

B. https://lss.brainhoney.com/Resource/22181743,AD2,0,C,3,0/Assets/72257_53b5b170/0608_g8_q3b.jpg

C. https://lss.brainhoney.com/Resource/22181743,AD2,0,C,3,0/Assets/72257_53b5b170/0608_g8_q3c.jpg

D. https://lss.brainhoney.com/Resource/22181743,AD2,0,C,3,0/Assets/72257_53b5b170/0608_g8_q3d.jpg

Answer 2

@texaschic101 Am I right?

Answer 3

@dtan5457

Answer 4

The original formula for a parabola is \[y=ax ^{2}+bx+c\], where a is the value attached to the x^2 variable. Apart from that, when a>0, the parabola will be U-shaped and when a<0, it will be cap-shaped. Having this in mind, the first equation, where the a is -1, then the parabola has to be cap-shaped. The second, where a is +1, shall be U-shaped.

b is the value attached to the x variable and c is the y-intercept value (not attached to any variable)

The first equation has a value of +1 as the y intercept and the second has the value of -4.

Answer 5

Ok so am I right? It's C?

Answer 6

B and C are quite similar, therefore it is important to find the roots. especially for the second equation, because in B there are no roots and in C there are.

Answer 7

\[x ^{2}-4=0\]
\[x ^{2}=4\]
\[x=-2orx=2\]
These are the roots, then you were correct. C.

Answer 8

@vera_ewing

Answer 9

thanks @Hoslos

Answer 10

My pleasure.