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

104 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 measure of angle x in a triangle if angles A and B are known?

What is the vertex of the quadratic function y = -2x^2 + 4x - 1?

Question: An object travels a distance of 120 km in 4 hours. What is its average speed? (

New questions in Mathematics

The patient is prescribed a course of 30 tablets. The tablets are prescribed “1 tablet twice a day”. How many days does a course of medication last?

3(2+x)-2(2x+6)=20-4x

Investing equal amounts of money into each of five business ventures Let's say you plan. 20 to choose from If there are initiatives, how many different ones among 20 initiatives? five startups can be selected?

For a temperature range between -3 degrees Celsius to 5 degrees Celsius, what is the temperature range in degrees Farenheight

Determine the equations of the recipes that pass through the following pairs of points P1 (2;-1) and p2 (4;-1)

Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number

Consider numbers from 1 to 2023. We want to delete 3 consecutive, so that the avarage of the left numbers is a whole number. How do we do that

find f(x) for f'(x)=3x+7

Solve equations by equalization method X-8=-2y 2x+y=7

Find the minimum value of the function y = -4 x3 + 60 x2 -252 x + 8 for values of x between x = 0 and x = 9 Enter the value of the function, not the value of x

When taking a test with m closed answers, a student knows the correct answer with probability p, otherwise he chooses one of the possible answers at random. What is the probability that the student knows the correct answer given that he answered the question correctly.

Log0

In an economy with C= 10+0.8 Yd ; I= 20+0.1Y ; G= 100 ; X= 20 ; M=10+0.2Y ; T=-10+0.2Y and R= 10, when knew that Yd= Y-T+R. How much is the budget? A. -23.18 B. -28.13 C. -13.28 D. -32.18

A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.

94 divided by 8.75

A factory produces glass for windows. The thickness X of an arbitrarily selected pane of glass is assumed to be Normally distributed with expectation μ = 4.10 and standard deviation σ = 0.04. Expectation and Standard deviation is measured in millimeters. What is the probability that an arbitrary route has a thickness less than 4.00 mm?

Farm Grown, Inc., produces cases of perishable food products. Each case contains an assortment of vegetables and other farm products. Each case costs $5 and sells for $15. If there are any not sold by the end of the day, they are sold to a large food processing company for $3 a case. The probability that daily demand will be 100 cases is 0.30, the probability that daily demand will be 200 cases is 0.40, and the probability that daily demand will be 300 cases is 0.30. Farm Grown has a policy of always satisfying customer demands. If its own supply of cases is less than the demand, it buys the necessary vegetables from a competitor. The estimated cost of doing this is $16 per case. (a) Draw a decision table for this problem (b) What do you recommend?

2.3 X 0.8

How many digits are there in Hindu-Arabic form of numeral 26 × 1011

Let f(x)=-1/2x+5 evaluate f(-6)

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