Question

The function age is a quadratic function, whose graph is a translation seven units left and nine units up of the parent function f(x)=x^2. What is the equation of each vertex form and in the form of Y equals AX^2 + BX + C

282

likes

1411 views

Answer to a math question The function age is a quadratic function, whose graph is a translation seven units left and nine units up of the parent function f(x)=x^2. What is the equation of each vertex form and in the form of Y equals AX^2 + BX + C

$Expert avatar$

Neal

4.5

105 Answers

1. Start with the parent function

f(x) = x^2

.
2. Translate the function seven units to the left:

y = (x + 7)^2

.
3. Then translate the function nine units up:

y = (x + 7)^2 + 9

, which is the vertex form.
4. Expand the vertex form to convert it into standard form:

y = (x + 7)^2 + 9

y = (x^2 + 14x + 49) + 9

y = x^2 + 14x + 58

, which is the standard form.

Answer in Vertex Form:

y = (x + 7)^2 + 9

Answer in Standard Form:

y = x^2 + 14x + 58

Frequently asked questions (FAQs)

What is the result of dividing 3/4 by 1/5?

Math question: In circle P with a radius of 10 units, if angle AOB is 70 degrees, what is the length of arc AB?

Question: What is the conjugate of the complex number 5 + 3i?

New questions in Mathematics

-6(3x-4)=-6

5 people can complete a task in 72 hours. How many people are needed to complete the task in 60 hours.

(m²-121)

1 plus 1

what is the annual rate on $525 at 0.046% per day for 3 months?

Suppose 56% of politicians are lawyers if a random sample of size 873 is selected, what is the probability that the proportion of politicians who are lawyers will be less than 55% round your answer to four decimal places

how many arrangements can be made of 4 letters chosen from the letters of the world ABSOLUTE in which the S and U appear together

Solve : 15/16 divide 12/8 =x/y

Is -11/8 greater than or less than -1.37?

Your boss asks you to plan the sample size for a randomized, double-blind, controlled trial in the clinical development of a cure for irritable bowl disease. Current standard treatment shall be compared with a new treatment in this trial. The S3-guideline of AWM demonstrated a mean change of the summary score of the validated health related quality of life questionnaire at 8 weeks of 16 with standard deviation 23 under standard treatment. You quote the drop-out rate of 11% from literature (previous phase of clinical development). Your research yielded a clinically important effect of 4 that has been found to be the Minimal Clinically Important Difference (MCID). In order to demonstrate superiority of the new treatment over standard of care, you assume that the change in of the summary score of the validated health related quality of life questionnaire follows a normal distribution, and that the standard deviation is the same for both treatments. How many patientes would one need to recruit for the trial to demonstrate the clinically interesting difference between treatments at significance level 5% with 95% power?

User One of the applications of the derivative of a function is its use in Physics, where a function that at every instant t associates the number s(t), this function s is called the clockwise function of the movement. By deriving the time function we obtain the velocity function at time t, denoted by v(t). A body has a time function that determines its position in meters at time t as S(t)=t.³√t+2.t . Present the speed of this body at time t = 8 s.

A bag has 4 green lollipops, 3 white lollipops, and 1 black lollipop. What is the probability of drawing a white lollipop?

We have received our p&l statement back from accounts. The board has asked for an innovation hub. What items should we prioritise reviewing to decide if we can afford an innovation hub?

Translate to an equation and solve. Let x be the unknown number: What number is 52% of 81.

We plan to test whether the mean mRNA expression level differs between two strains of yeast, for each of 8,000 genes. We will measure the expression levels of each gene, in n samples of strain 1 and m samples of strain 2. We plan to compute a P-value for each gene, using an unpaired two-sample t-test for each gene (the particular type of test does not matter). a) What are the null hypotheses in these tests (in words)? [2] b) If, in fact, the two strains are identical, how many of these tests do we expect to produce a P-value exceeding 1/4? [2]

How many cards do you expect to pull from a poker deck until you get an ACE?

X^3 - x^2 - 4 = 0, what are the values of x?

What is the percentage of nitrogen abundance in copper dinatrate Cu(NO3)2

a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?

13/25+7/16

The function age is a quadratic function, whose graph is a translation seven units left and nine units up of the parent function f(x)=x^2. What is the equation of each vertex form and in the form of Y equals AX^2 + BX + C

Answer to a math question The function age is a quadratic function, whose graph is a translation seven units left and nine units up of the parent function f(x)=x^2. What is the equation of each vertex form and in the form of Y equals AX^2 + BX + C

You might be interested in