KE8717504
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?
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@Agent47
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The graph is a u shape and crosses on the x-axes at both -2, and -6.
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@Agent47
Agent47
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can u tell me at what y-value is its lowest point?
KE8717504
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-4 is it's lowest point on the y axis
Agent47
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brb gonna make some tea..
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ok
Agent47
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A. Write a quadratic function that has x^2 - coefficient equal to 1 and has the x-intercepts indicate:
y=x^2+bx+c
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Intercepts are -6 and -4, so:
0=(-6)^2+b(-6)+c
0=(-2)^2+b(-2)+c
-36=-6b+c
-4=-2b+c
KE8717504
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ok so that is going to be my A part for my formula?
Agent47
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A: y=x^2+8x+14
Agent47
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wait let me check it
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ok
MarinaDL
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y=x^2+8x+12
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ok im back my computer knocked me off
Agent47
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sorry i froze when i was typing that 14 shld be 12
Agent47
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yeah Marina's right
KE8717504
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so it's x^2+8x+12?
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For a part
Agent47
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yea for A
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ok
Agent47
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B is the same thing
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same answer?
Agent47
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yea
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for the next one it says ___different quadratic functions or infintiy
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c. How many different quadratic functions can have x intercepts of -6 and -2?
infintely many
Agent47
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infinity
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Is D going to be infinity also?
Agent47
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D. How many different quadratic equations in one variable can have solutions of -6, and -2? yea it shld be infinity as well
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Great!!! Thanks alot :)
Agent47
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np gnite guys
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gnite