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?
@Agent47
The graph is a u shape and crosses on the x-axes at both -2, and -6.
@Agent47
can u tell me at what y-value is its lowest point?
-4 is it's lowest point on the y axis
brb gonna make some tea..
ok
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
ok so that is going to be my A part for my formula?
A: y=x^2+8x+14
wait let me check it
ok
y=x^2+8x+12
ok im back my computer knocked me off
sorry i froze when i was typing that 14 shld be 12
yeah Marina's right
so it's x^2+8x+12?
For a part
yea for A
ok
B is the same thing
same answer?
yea
for the next one it says ___different quadratic functions or infintiy
c. How many different quadratic functions can have x intercepts of -6 and -2? infintely many
infinity
Is D going to be infinity also?
D. How many different quadratic equations in one variable can have solutions of -6, and -2? yea it shld be infinity as well
Great!!! Thanks alot :)
np gnite guys
gnite
Join our real-time social learning platform and learn together with your friends!