Which will result in a difference of squares?
1 answer:
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Answer:
Last option is the correct answer:
The graph of G (x) is the graph of f(x) shifted 2 units to the left
Step-by-step explanation:
We know that for any parent function f(x) the graph of the transformed function:
is a shift of the the parent function f(x) either to the left or the right depending on the value of a.
if a>0 then the shift is 'a' units to the left
and if a<0 then the shift is 'a' units to the right.
Here we have transformed function G(x) as:
i.e. a=2>0.
Hence, the graph of G (x) is the graph of f(x) shifted 2 units to the left.
Answer:
(negative 7 x + 4)(negative 7 x minus 4)
Step-by-step explanation:
Consider two real numbers a and b. A difference of squares involving a and b is usually given as;
The difference of the two squares above can be factored to yield;
This implies that in order to have the difference of squares we must have a product involving the difference and the sum of the numbers.
The expression;
(negative 7 x + 4)(negative 7 x minus 4) can also be written as ( 4 - 7x) ( -4 - 7x)
( 4 - 7x) ( -4 - 7x) = ( 4 - 7x) (-1( 4 + 7x)) = -1 *( 4 - 7x) ( 4 + 7x)
Expanding the last expression yields;
-1 (16 + 28x -28x - 49x^2) = -1 (16 - 49x^2) = 49x^2 - 16 which is in deed a difference of squares