Precalculus 11

I just want to double check that I have this right. Write the new equation of the parabola
y=(x-3)^2-7 that is translated 4 units left, 5 units up & is compressed by a factor of 1/4

y=1/4(x+1)^2-2

Thanks a bunch :) ♡

  1. 👍 0
  2. 👎 0
  3. 👁 169
  1. looks good

    1. 👍 0
    2. 👎 0
  2. y = f ( x + h )

    translated left h units

    In this case:

    f ( x + 4 ) = ( x - 3 + 4 )² - 7 = ( x + 1 )² - 7

    y = f ( x ) + k

    translated up k units

    In this case:

    f ( x + 4 ) + k = f ( x + 4 ) - 7 + 5 = ( x + 1 )² - 7 + 5 = ( x + 1 )² - 2

    y = ( 1 / m )· f ( x )

    compressed vertically by a factor of 1 / m

    In this case:

    ( 1 / 4 )·( x + 1 )² - 2

    f ( n· x ) compressed horizonally by a factor of 1 / n

    In this case:

    f ( 4· x ) = ( 4 x + 1 )² - 2

    If your functions is translated 4 units left, 5 units up and compressed vertically by a factor of 1 / 4 then:

    ( 1 / 4 )·( x + 1 )² - 2

    If your functions is translated 4 units left, 5 units up and compressed horizonally by a factor of 1 / 4 then:

    ( 4 x + 1 )² - 2

    1. 👍 0
    2. 👎 0
  3. Thanks guys!:)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    1) Which of the following is true about photosynthesis? A. It is an exothermic reaction B.It is a endothermic reaction ***** C.It produces carbon dioxide D. It occurs in animals 2) Atomic Theory is A.Subject to change if new

  2. Chemistry

    What is the net ionic equation when H2SO4 is neutralized by NaOH in aqueous solution? Write the molecular equation. H2SO4 + 2NaOH ==> Na2SO4 + 2H2O Convert to ions. 2H^+ + SO4^= + 2Na^+ + 2 OH^- ==> 2Na^+ + SO4^= + 2H2O Now cancel

  3. Math check my answers

    1. Evaluate. 8d - 10 for d = 4 A.32 B.22*** C.26 D.46 2. write an algebraic expression for the sum of 3 coins and c coins. A.c + 3*** B.c/3 C.3c D.c-3 3. Find the solution of the equation from the given numbers. x - 2 =16: 14, 18,

  4. chem

    Write the complete ionic equation for Cu(NO3(aq)+K2S(aq)and namd write the formula for the spectator ions in this reaction? This is what I got pls. check it: complete ionic equation:

  1. Math

    1. Use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). Write your final equation in slope-intercept form. 2. Write the equation in standard form using integers (no fractions or

  2. Mathematics

    2. Write an equation to represent the statement: "The product of a number and five plus two is equal to 100." (1 point) A. 5 - x - 2 = 100 B. 5(x - 2)=100 C. 5 x + 2 = 100 D. 5 - 2 x = 100 3. Solve using mental math. (1 point) 5 x

  3. chemistry

    Precipitation Reactions Write a molecular equation for the precipitation reaction that occurs (if any) when the following solutions are mixed. If no reaction occurs, write NO REACTION. Express your answer as a chemical equation.

  4. Chemistry

    What are the major organic products of this reaction: CH3CH2CH2COCH2CH3 (an O is double bonded to the C before the O) + H2O --> (acid is above the arrow) DrBob222- There are 2 oxygens. I said there is an O double bonded to the C.

  1. Math

    1. Find the slope of the line that passes through the points (-1, 2), (0, 5). 2. Suppose y varies directly with x, and y = 15 and x = 5. Write a direct variation equation that relates x and y. What is the value of y when x = 9? 3.

  2. Math

    Tim is a first grader and reads 28 words per minute. Assuming he maintains the same rate, using the double number line to find out how many words he can read in 5 minutes. Words 0 28 --- --- ---- ---- Minutes 0 1 5 This is

  3. Geometry

    Good morning. I have another math problem I may have to have checked. I am not real good at re-checking with the distance formula. #8 Given segment AB with A(8, -4) and B(-6, -11), if P partitions AB such that the ratio of AP to

  4. Algebra

    I have 3 questions with my answers and would like you to check them. If they're wrong, then please provide and explanation to how to do them. Thank you tutors. Write each sentence as an equation. 1. Eight less than 1/3 a number n

You can view more similar questions or ask a new question.