Use the graph of f(x) = log x to obtain the graph of g(x) = log x + 5.
2 answers:
The graph of g(x) = f(x) + 5 will have the graph of f(x) moved 5 units upward. The best choice is the last one.
_____
Adding 5 to each y-value (the output of f(x)) moves it upward by 5 units.
Answer:
Option D
Step-by-step explanation:
Given : f(x) = log x
g(x) = log x + 5.
Solution:
Rule : f(x)→f(x)+b
Graph f(x) is translated up by b units
Now using this rule
f(x) = log x→g(x) = log x + 5.
So, f(x) is translated up by 5 units to obtain g(x).
In option D the graph is translated up by 5 units.
Thus Option D is correct.
Refer the attached graph for the translation.
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Answer:
<em>Observe attached image</em>
<em>Function zeros:</em>
(3, 0), (5, 0)
<em>Vertex:</em>
(4, 2)
<em>Axis of symmetry:</em>
<em></em>
Step-by-step explanation:
<u>First factorize the function</u>
<em>Take -2 as a common factor.</em>
<em>Now factor the expression </em>
You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.
These numbers are -5 and -3
Then we can factor the expression in the following way:
<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>
Now we find the coordinates of the vertex.
For a function of the form the x coordinate of its vertex is:
In the function
<u>Then the vertice is:</u>
The y coordinate of the symmetry axis is
The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.
<u>Then the axis of symmetry is the line</u>
<u>The solutions and the vertice written as ordered pairs are:</u>
<em>Function zeros:</em>
(3, 0), (5, 0)
<em>Vertex:</em>
(4, 2)
