If f(x) = 8x+9 and g(x) = 4x-3, what is (f+g)(x)?
2 answers:
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Answer:
g(x) = (x + 3)^2
Step-by-step explanation:
When a function is shifted to the left or right we can think of a change of units, like a new independent variable is used.
If we have a quadratic function
and the graph is shifted 3 units to the left, then we can think of a new unit u that is:
The vertix of this parabola, that happens for u=0, happens for x=-3, as the graph is shifted 3 units to the left.
Then, the relation between u and x is:
We can use this relation in the new graph and replace u as:
Answer:
The expression of the ellipse is:
Step-by-step explanation:
The equation of a ellipse can be written by the following expression:
Where 2a is the length of the major axis and 2b is the length of the minor axi. Since we were given the length of the minor vertex, then:
The length of the major axis is the distance between the two vertices.
Therefore the expression of the ellipse is: