The graph of the function f(x)= x2 − 4x + 6 is shown here. What is its axis of symmetry?
2 answers:
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The <em><u>correct answers</u></em> are:
Part A: The slope of f(x) is greater; and Part B: The y-intercept of f(x) is greater.
Explanation:
To find the slope of f(x), we use the slope formula:
The slope of g(x) is found in the form the function is written in, slope-intercept form; y=mx+b, where m is the slope and b is the y-intercept. This means the slope of g(x) is 3. Since the slope of f(x) is 8, the slope of f(x) is larger.
The y-intercept is the point where the data crosses the y-axis. This means it will have an x-coordinate of 0. The point in the table for f(x) with an x-coordinate of 0 is (0, -1). This is the y-intercept of f(x).
The y-intercept of g(x) is b in the equation form y=mx+b. For g(x), the y-intercept is -2. -1 is greater than -2, so the y-intercept of f(x) is larger.