The solutions to f(x) = g(x) are where the x-values for which the output f(x) is equal to the output of g(x).
What I mean by this is for instance, you input 7 into f(x) and g(x) and you get the same answer, then 7 is a solution.
Here, we are looking in columns two and three to see which rows are equal. It looks like when you input 0 into both f(x) and g(x), you get 2, and when you input 1 into both f(x) and g(x), you get 3.
Therefore, (0,2) and (1,3) are your solutions.
The Pythagorean theorem or identity is given by
Where
- B is base of right angle traingle
- H is Hypotenuse
- P is perpendicular
For the function f ( x ) = x² we have the new function f 1 ( x ) = 1/2 x².
f ( x ) = a · x²
- If |a| < 1 the graph is compressed vertically by a factor of a.
- If |a| > 1 the graph is stretched vertically by a factor of a.
Here: a = 1/2 < 1
Answer:
C. The graph will be compressed vertically.