Question

An ordered pair and a line are given. The ordered pair belongs to a quadratic function whose graph is symmetric about the given line. Find another ordered pair of this function. A) (2,3); x=1

101

likes
506 views

Answer to a math question An ordered pair and a line are given. The ordered pair belongs to a quadratic function whose graph is symmetric about the given line. Find another ordered pair of this function. A) (2,3); x=1

Expert avatar
Fred
4.4
118 Answers
1. The given point is (2, 3) and the line of symmetry is x = 1.
2. In a quadratic function, points that are symmetric with respect to a vertical line have the same y-coordinate.
3. Since the line of symmetry is x = 1 and the given point is (2, 3), reflect the x-coordinate of the given point over the line of symmetry.
4. The distance from the given point to the line x = 1 is 2 - 1 = 1.
5. Reflecting across x = 1 gives a new x-coordinate of 1 - 1 = 0.
6. Therefore, the new point is (0, 3).

[Solution]

(0, 3)

Frequently asked questions (FAQs)
What is the maximum value of the function f(x) = 2x^3 - 6x^2 + 4x - 1 on the interval [0, 4]?
+
What is the volume of a sphere with radius 4 units?
+
What is the result of adding the vectors (-3, 5) and (8, -2)?
+
New questions in Mathematics
Use the digits of 1,9,2,3 to come up with all the numbers 98 and 95
³√12 x ⁶√96
2x-y=5 x-y=4
Suppose that a device has been created that launches objects at ground level and that its operation is modeled by the function h(x) = -4ײ + 256x, with h being the height (in meters) and x being the distance (in meters) What is the maximum height that the object reaches?
Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places
Answer the following questions regarding the expression below. 0.1 (a) Write the number as a fraction.
In a grocery store, when you take out 3 peppers and 4 carrots, there are 26 peppers and 46 carrots left. How many peppers and carrots were there initially?
A recurring sequence is one where elements repeat after completing one standard. If the sequence AB8C14D96AB8C1... is recurring its twentieth term is equal to: (A) B. (B) 8. (C) A. (D) 6. (E) D.
Engineers want to design seats in commercial aircraft so that they are wide enough to fit ​95% of all males.​ (Accommodating 100% of males would require very wide seats that would be much too​ expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.2 in. Find P95. That​ is, find the hip breadth for men that separates the smallest ​95% from the largest 5​%.
The simple average of 15 , 30 , 40 , and 45 is
4+168×10³×d1+36×10³×d2=-12 -10+36×10³×d1+72×10³×d2=0
X~N(2.6,1.44). find the P(X<3.1)
Jasminder has made 55% of the recipes in a particular cookbook. If there are 9 recipes that he has never made, how many recipes does the cookbook contain?
For what values of m is point P (m, 1 - 2m) in the 2⁰ quadrant?
find missing measure for triangle area = 48 m square base = 10m heaighy = ? m
How to factorise 5y^2 -7y -52
2 - 6x = -16x + 28
calculate the product of 4 and 1/8
9n + 7(-8 + 4k) use k=2 and n=3
(3.1x10^3g^2)/(4.56x10^2g)