All categories

2 years ago

Transformation of quadratic functions

Mathematics

1 answer:

Kitty [74]2 years ago

6 0

Answer:

g(x) = a(x − h)2 + k, where a ≠ 0.

Step-by-step explanation:

The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)2 + k, where a ≠ 0.

You might be interested in

How do you change 1/16 into a decimal?

Lynna [10]

Convert the fraction to a decimal by dividing the numerator by the denominator.

1/16= 0.0625

5 0

3 years ago

Read 2 more answers

How is the Remainder Theorem related to the process of synthetic division?

vladimir2022 [97]

Answer:

The Remainder Theorem states that f(c) = the remainder. So if the remainder comes out to be 0 when you apply synthetic division, then x - c is a factor of f(x). by x - 2. Use the result to find all zeros of f

4 0

3 years ago

Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=

DiKsa [7]

Answer:

0.3581<x<0.4429

Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

p is the population proportion = x/n

p = 200/500

p = 0.4

Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

Confidence interval = 0.4 ± 1.96 * √p(1-p)/n

Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500

Confidence interval = 0.4 ± 1.96 * √0.24/500

Confidence interval = 0.4 ± 1.96 * √0.00048

Confidence interval = 0.4 ± 1.96 * 0.0219

Confidence interval = 0.4±0.04294

Confidence interval = (0.3571, 0.4429)

Hence the confidence interval of the population mean is 0.3581<x<0.4429

5 0

3 years ago

En una escuela hay 196 estudiantes en los cuales 84 son mujeres. La razón geometríca de mujeres a varanos que estudian en dicha

AlexFokin [52]

Answer:

La razón geométrica de mujeres a varones es de 3 mujeres por cada 4 hombres.

Step-by-step explanation:

El enunciado es incorrecto, su forma correcta es: <em>En una escuela hay 196 estudiantes, de los cuales 84 son mujeres. La razón geométrica de mujeres a varones que estudian en dicha escuela es:</em>

Es sabido que la especie humana solo tiene dos formas en un sentido biológico: hombre y mujer. Si 84 de los 196 estudiantes son mujeres, entonces 112 son hombres. En consecuencia, la razón geométrica de mujeres a varones es de 3 mujeres por cada 4 hombres.

7 0

3 years ago

27 (x2+8x+16) / 3 (x2+6x+8) simplify

Karolina [17]

Answer:

9x4+126x3+648x2+1440x+1152

Step by step:

27(x^2+8x+16) / 3 (x^2+6x+8)

(27(x^2+8x+16) / 3) (x^2+6x+8)

(27(x^2+8x+16) / 3) (x^2) +(27(x2+8x+16) / 3) (6x)+(27(x2+8x+16)/3) (8)

9x4+72x^3+144x^2+54x^3+432x^2+864x+72x^2+576x+1152

9x4+126x3+648x2+1440x+1152

3 0

3 years ago