Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
2 answers:
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Step-by-step explanation:
<u>Step 1: Factor the equation</u>
<u>Step 2: Find the x-intercepts of the graph of f(x)</u>
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<u>Step 3: Describe the end behavior of the graph of f(x)</u>
Since the function is to the power of 2, that means that it is a parabola. And since the leading coefficient is negative, means that the arrows will be pointing down therefore, the end behavior of this graph is as x goes to infinity, f(x) goes to negative infinity and as x goes to negative infinity, f(x) goes to negative infinity.
<u>Step 4: What are the steps you would use to graph f(x)</u>
The first step that I would do is factor the equation. Then I would find the x-intercepts of the graph and plot them on the graph. I would then plug in 0 for all of the x values to get the y intercept. After doing that I would get the vertex using the vertex formula plotting it on the graph. Finally, I would connect all of the dots together to form the graph of the equation.