Mathematics, 05.05.2020 18:32 vdkgknsdg9996

Which statements about functions g(x) = x2 - 4x + 3 and f(x) = x2 - 4x are true? Select all that apply.
A. The vertex of the graph of function g is above the vertex of the graph of function f.
B. The graphs have the same axis of symmetry.
c. Function f has a maximum value and function g has a minimum value.

Answers: 3

Show answers

Answers

Answer from: Dontslack

A and B

Step-by-step explanation:

We are given that

g(x)=x^2-4x+3

$g(x)=(x^2-2\times x\times 2+4)-4+3=(x-2)^2-1$

Compare with it

y=(x-h)^2+k

Where vertex=(h,k)

We get

Vertex of g=(2,-1)

$f(x)=x^2-4x=(x^2-2\times x\times 2+4)-4=(x-2)^2-4$

Vertex of f=(2,-4)

Equation of axis of symmetry=x-coordinate of vertex

Axis of symmetry of g

x=2

Axis of symmetry of f

x=2

Differentiate w.r.t x

g'(x)=2x-4=0

$2x-4=0\implies 2x=4$

$x=\frac{4}{2}=2$

f'(x)=2x-4

$2x-4=0\implies 2x=4$

$x=\frac{4}{2}=2$

g''(x)=20

f''(x)=20

f and g have both minima at x=2

Hence, option A and B are true.

Which statements about functions g(x) = x2 - 4x + 3 and f(x) = x2 - 4x are true? Select all that app

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

Answer from: Quest

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of

Another question on Mathematics

Mathematics, 21.06.2019 18:30

41/17 as a decimal rounded to the nearest hundredth

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

According to the data set, where should the upper quartile line of the box plot be placed?

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

The frequency table shows the results of a survey comparing the number of beach towels sold for full price and at a discount during each of the three summer months. the store owner converts the frequency table to a conditional relative frequency table by row. which value should he use for x? round to the nearest hundredth. 0.89 0.90 0.92 0.96

Answers: 2

Answer

Mathematics, 21.06.2019 23:30

Solve this 364x-64x=300x and 12(x2–x–1)+13(x2–x–1)=25(x2–x–1)

Answers: 1

Answer

You know the right answer?

Which statements about functions g(x) = x2 - 4x + 3 and f(x) = x2 - 4x are true? Select all that app...

Questions