Consider the graph of a quadratic function shown to the right.
A. Write a quadratic function that has x^2 -coefficient equal to 1 and has the x-intercepts indicated.
B. Write a quadratic equation in the variable x, with X^2 -coefficienent equal to 1, that has solutions of -6 and -2
c. How many different quadratic functions can have x intercepts of -6 and -2?
D. How many different quadratic equations in one variable can have solutions of -6, and -2?

- anonymous

- chestercat

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- anonymous

@Agent47

- anonymous

The graph is a u shape and crosses on the x-axes at both -2, and -6.

- anonymous

@Agent47

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## More answers

- Agent47

can u tell me at what y-value is its lowest point?

- anonymous

-4 is it's lowest point on the y axis

- Agent47

brb gonna make some tea..

- anonymous

ok

- Agent47

A. Write a quadratic function that has x^2 - coefficient equal to 1 and has the x-intercepts indicate:
y=x^2+bx+c
0
Intercepts are -6 and -4, so:
0=(-6)^2+b(-6)+c
0=(-2)^2+b(-2)+c
-36=-6b+c
-4=-2b+c

- anonymous

ok so that is going to be my A part for my formula?

- Agent47

A: y=x^2+8x+14

- Agent47

wait let me check it

- anonymous

ok

- anonymous

y=x^2+8x+12

- anonymous

ok im back my computer knocked me off

- Agent47

sorry i froze when i was typing that 14 shld be 12

- Agent47

yeah Marina's right

- anonymous

so it's x^2+8x+12?

- anonymous

For a part

- Agent47

yea for A

- anonymous

ok

- Agent47

B is the same thing

- anonymous

same answer?

- Agent47

yea

- anonymous

for the next one it says ___different quadratic functions or infintiy

- Agent47

c. How many different quadratic functions can have x intercepts of -6 and -2?
infintely many

- Agent47

infinity

- anonymous

Is D going to be infinity also?

- Agent47

D. How many different quadratic equations in one variable can have solutions of -6, and -2? yea it shld be infinity as well

- anonymous

Great!!! Thanks alot :)

- Agent47

np gnite guys

- anonymous

gnite

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