Wednesday

July 30, 2014

July 30, 2014

Posted by **Kameesha** on Wednesday, August 1, 2012 at 12:27pm.

a. vertical stretch by a factor of -4

b. horizontal shift of 4 units to the right

c. reflection over the y-axis, vertical shrink by a factor of 4

d. reflection over the x-axis, vertical stretch by a factor of 4

2. Determine the quadratic function f whose vertex is (3, -2) and passes through (2,1).

I have to type the answer in the form of f(x) = ax^2 + bx + c.

I would gladly appreciate the help.

- College Algebra -
**Steve**, Wednesday, August 1, 2012 at 1:11pm1. you must have a typo. If f(x) = -4/x^2, then (d). Otherwise, none of the above. (a) would also be technically correct, but we don't usually denote stretching by negative values.

2. You know that

y = a(x-3)^2 - 2

so, plug in your point:

1 = a(2-3)^2 - 2

a = 3

so, y = 3(x-3)^2 - 2

= 3(x^2 - 6x + 9) - 2

= 3x^2 - 18x + 25

**Related Questions**

college algebra, Please help!! - which of the following best describes how the ...

College Algebra - 1.Answer the following for the given quadratic function. f(x...

calculus - 1.Find the following for the function f(x)=(x+6)^2(x-2)^2 a. what are...

College Algebra - 1.The graph of y = - 1/2 |x - 5| - 3 can be obtained from the ...

Algebra 2 - 2. How do the graphs of y = 1/x and y = 3/x – 4 compare? (1 point) ...

precalculus - How do I find the vertical/horizontal compression/stretch? For the...

Math help Please - 2. How do the graphs of y = 1/x and y = 3/x – 4 compare? (1 ...

Pre-Calc - I have one more question I don't understand. It's a multiple choice ...

college algebra - Graph the following function using transformations. Be sure ...

college algebra - Question 638522: Graph the following function using ...