Answer:
B) The base graph has been reflected about the y-axis
Step-by-step explanation:
We are given the function, .
Now, as we know,
The new function after transformation is .
<em>As, the function f(x) is changing to g(x) = f(-x)</em> and from the graph below, we see that,
The base function is reflected across y-axis.
Hence, option B is correct.
Answer:
Both lines are equal (they are the same)
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Step-by-step explanation:
Given
Required
What is true about graph of both lines
<em>Questions like this are better solved when there's option(s) to select from. However, some of the properties of line equation that I'll consider are to check if both lines are either parallel or perpendicular</em>
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To do this,
The first thing to do is to calculate the slope of both lines
Add 8 to both sides
Divide both sided by 3
The slope of the line is the coefficient of x;
Solve for the y intercept; <em>Let x = 0</em>
Solve for the x intercept; <em>Let y = 0</em>
Subtract from both sides
Subtract both sides by
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Divide both sides by 6
Simplify fractions to lowest term
The slope of the line is the coefficient of x;
Solve for the y intercept; <em>Let x = 0</em>
Solve for the x intercept; <em>Let y = 0</em>
Subtract from both sides
Subtract both sides by
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By comparing the slope, x intercept and y intercept of both lines;
It'll be observed that they have the same slope, x intercept and y intercept
<em>This implies that both lines are equal; in other words, they are the same.</em>