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inessss [21]
2 years ago
6

Which equation reveals the minimum or the maximum value of f(x) without changing the form of the equation?

Mathematics
1 answer:
erik [133]2 years ago
5 0

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.

Please mark my answers as the Brainliest if you find this helpful  :)

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If five times four is thirty-three, what will the fourth of twenty be?
Zarrin [17]

Answer:

The fourth of twenty is 5

Step-by-step explanation:

The 4th of twenty implies that we divide the number twenty into 4 place, let's us divide it 4

20/4= 5

This problem bothers on on division of numbers and it requires proper understanding of words/terms associated with it.

5 0
3 years ago
I need help with #4 a-d
lesya [120]

a repeating decimal is placed over 9's instead of 0's.   for example: 0.23 = \frac{23}{100}, but 0.232323... = \frac{23}{99}

a) x = 0.121212

b) 100(x) = 100(0.121212)

    100x  = 12.1212

c)  100x = 12.1212

-  <u>        x =   0.1212</u>

     99x  =  12

         x  = \frac{12}{99}

d) -2\frac{12}{99}  <em>= -2\frac{4}{33} when simplified</em>

The number is rational becase it has a repeating decimal

6 0
3 years ago
Point G lies between points F and H on FH.
dlinn [17]

Answer: x=3 ==> 1st option

Step-by-step explanation:

FH=FG+GH

18=4x+2x

6x=18

x=3 ==> 1st option

8 0
2 years ago
Can someone solve this please? (Radical Form)
Zinaida [17]

Step-by-step explanation:

16+48=68 that's it good luck

8 0
3 years ago
For f(x) = 3x^2 – X+5, 2f (-3) - f(4)=
Alenkinab [10]

Answer:

3x^2-x+5.2f\left(-3\right)-f\left(4\right) =

3x^2-x-19.6f

Step-by-step explanation:

3x^2-x+5.2f\left(-3\right)-f\left(4\right)

=3x^2-x-5.2f\cdot \:3-f\cdot \:4

=3x^2-x-15.6f-4f

=3x^2-x-19.6f

8 0
3 years ago
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