PLEASE HELP need quick answer
1 answer:
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<u>Given</u>:
The parent function is
We need to determine the function g(x) created from the function f(x) by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units.
<u>Shift left 9 units:</u>
The rule to shift the graph c units to the left is given by
where c is the positive real number.
Hence, to shift the graph 9 units to the left is given by
<u>Vertical stretch by a factor of 4:</u>
The rule to stretch the graph vertically by a factor of c is given by
where
Hence, to stretch the graph vertically by a factor of 4, we have;
<u>Shifting 5 units up:</u>
The rule to shift the graph c units upward is given by
where c is the positive real number.
Hence, to shift the graph 5 units upward is given by
Therefore, the function is created from the graph
by moving the graph left 9 units, vertically stretching it by a factor of 4 and shifting up 5 units.
Hence, the graph g(x) is
Answer:
(x² - 9)(x² - 2) = 0
x = 3 or √2
Step-by-step explanation:
To factor a polynomial, you need to find two expression that when multiplied together using FOIL (first, outside, inside, last) will produce the polynomial. In this case the polynomial can be factored into:
(x² - 9)(x² - 2) = 0
Setting each of these expressions equal to '0':
x² - 9 = 0 or x² = 9 so √x² = √9 or x = 3
x² - 2 = 0 or x² = 2 so √x² = √2 or x = √2