Thursday

April 2, 2015

April 2, 2015

Posted by **George** on Tuesday, September 2, 2008 at 7:50pm.

If f(x) = ax^2 + bx + c, what can you say about the values of a, b, and c if:

(A) (1,1) is on the graph of f(x)?

(B) (1,1) is the vertex of the graph of f(x)?[Hint: The axis of symmetry is x = -b/(2a).]

(c)The y intercept of the graph is (0,6)?

(D) Find a quadriatic function satisfying all three conditions.

- Calculus -
**Reiny**, Tuesday, September 2, 2008 at 8:54pmfrom (A) we would know that 1 = a + b + c

from (b) we know 1 = -b((2a)

or b = -2a

from (c) we know that at the y-intercept x = 0

so 6 = 0 + 0 + c, so c=6

so back in the first equation

a+b+c = 1

a + (-2a) + 6 = 1

-a = -5

a + 5, then b = -10 and c=6

so f(x) = 5x^2 - 10x + 6

**Answer this Question**

**Related Questions**

world history - 11. Which of the following is not one of the new thoughts of or ...

English (Grammar) - Would it be grammatically correct to say "Lastly, the ...

history - How does the Euthyphro Problem attack modern cognitive religion? Is ...

Pre-Calculus - "Given that f(x)=3x-4 g(x)=2x²+5 Find g(f(x))" Can you helpme out...

essay - God is essential to the existence of Immaculee in Left to Tell.God is ...

pre calculus - Hi, I am having a problem trying to find and understanding how ...

pre calculus - Hi, I am having a problem trying to find and understanding how ...

history - The following links provided weren't helpful.. I used them to discover...

Thomas Malthus - Thomas Malthus was a clergyman so is it safe to say that he did...

English Help 2 - Through out her poetry, she seems to be very passionate about ...