For a quadratic function, which characteristics of its graph is equivalent to the zero of the function? a) y-intercept b) maximu
m point c) minimum point d) x-intercept
1 answer:
Answer:
d) x-intercept
Step-by-step explanation:
The zeros of a function are the values of x that make y = 0.
Thus, they are the points where the graph crosses the x-axis, that is, the x-intercepts.
a) is wrong. the y-intercept is simply the value of y when x = 0.
b) and c) are wrong. A quadratic can have only one maximum or one minimum; it can't have both. And they are not zeros except in the special case of y = ±ax².
The diagram below is the graph of y = x² + 3x - 46. It shows the zeros at x = -23 and x = 20. The minimum and the y-intercept are not zeros of the function.
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Using the distance formula, the area of the rectangle is: 16 units².
<h3>What is the Area of a Rectangle?</h3>Area of a rectangle = (length)(width).
Given the vertices:
- A(−3, −1)
- B(1, 3)
- C(3, 1)
- D(−1, −3)
Area = (AB)(BC)
Apply the distance formula, , to find AB and BC:
AB = √[(1−(−3))² + (3−(−1))²]
AB = √[(4)² + (4)²]
AB = √32
BC = √[(1−3)² + (3−1)²]
BC = √[(−2)² + (2)²]
BC = √8
Area = (√32)(√8) = √256
Area = 16 units²
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