What is the slope-intercept form equation of the line that passes through (1, 3) and (3, 7)?
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Answer:
B. The maximum occurs at the function's x-intercept.
Step-by-step explanation:
Given table:
From inspection of the table, we can see that:
and
This indicates <u>symmetry</u>.
The line of symmetry is the mid-point between the two x-values.
Therefore, the <u>line of symmetry</u> is x = -4
The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0). As the function decreases as x → 0, the vertex is a <u>maximum</u>.
As the y-value of the vertex is 0, the maximum occurs at the function's <u>x-intercept</u>.