Answer:
A): f(x) = (x – 1)² + 2
Step-by-step explanation:
The quadratic function, f(x) = (x – 1)² + 2 is in <u>vertex form</u>: y = a(x - h)² + k, where:
- The vertex of the graph is (h,k).
- The value of <em>a</em> determines whether the graph opens up or down. If <em>a</em><em> </em>is <u>positive</u>, the graph opens up and the vertex is its minimum point. If <em>a </em>is <u>negative</u>, then the graph opens down, and the vertex is its maximum point.
- The value of <em>h</em> determines how far left or right the parent function is translated.
- The value of<em> k</em> determines how far up or down the parent function is translated.
The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's <u>minimum value</u>, as the value of <em>a</em> is a <u>positive</u>, which implies that the parabola is <em>upward facing</em>, and the vertex, (1, 2) is the minimum point.
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Quotient means we are dividing. We are dividing A by the difference of 3 and B. Difference means subtract, so our algebraic expression is A/(3-B).
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Place one point 7 units above D and one 7 units below D. So at (-4,8) and (-4,-6)
Answer:
x = 4
Step-by-step explanation:
I don't see a picture, so I'm assuming that M, N, O are points on a line segment with endpoints M and O.
Point N bisects segment MO, so it's in the middle of that segment. That means the distance from M to N and the distance from N to O are equal.
7x - 15 = 2x + 5
5x - 15 = 5
5x = 20
x = 4