SOLUTION: 1.Write a formula for a function with a graph that has exactly two x-intercepts, one at x = 4 and the other at x = 2. Draw a graph by hand of your equation and check its intercept

Question 765509: 1.Write a formula for a function with a graph that has exactly two x-intercepts,
one at x = 4 and the other at x = 2. Draw a graph by hand of your equation and check its intercepts by substituting 2 and then 4 for x.
2.Write an equation for a function with a graph that has exactly two x-intercepts,
one at x = �6 and the other at x = 3. Draw a graph by hand of your equation and check the intercepts.
3.Write a formula for a function whose graph has exactly three x-intercepts,
one at x = �3, another at x = 1, and the third at x = 3. Draw a graph by
hand of your equation and check the intercepts.
5. Draw a graph of a different parabola that has the same x-intercepts as the
graph for problem 1. What is the equation of that function?
6. Solve the equation Q = 4a + 6ac for a.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1.Write a formula for a function with a graph that has exactly two x-intercepts,
one at x = 4 and the other at x = 2. Draw a graph by hand of your equation and check its intercepts by substituting 2 and then 4 for x.
------
f(x) = (x-4)(x-2)
==============================
2.Write an equation for a function with a graph that has exactly two x-intercepts,
one at x = �6 and the other at x = 3. Draw a graph by hand of your equation and check the intercepts.
------
f(x) = (x+6)(x-3)

==============================
3.Write a formula for a function whose graph has exactly three x-intercepts,
one at x = �3, another at x = 1, and the third at x = 3. Draw a graph by
hand of your equation and check the intercepts.
------
f(x) = (x+3)(x-1)(x-3)

===============================
5. Draw a graph of a different parabola that has the same x-intercepts as the
graph for problem 1. What is the equation of that function?
g(x) = 3(x-4)(x-2)
===============================
6. Solve the equation Q = 4a + 6ac for a.
Q = a(4+6c)
a = Q/(4+6c)
===============================
Cheers,
Stan H.
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