1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Setler79 [48]
3 years ago
15

Find the equation f(x) = a(x - h)2 + k for a parabola containing point (3, 6) and having (1, -2) as a vertex. What is the standa

rd form of the equation?
Mathematics
1 answer:
nlexa [21]3 years ago
8 0

f(x) = 2 x^{2} -4x

Step-by-step explanation:

Step 1 :

Given, f(x) = a(x - h)2 + k

Point on the parabola is (3, 6)

Vertex (h,k) = (1,-2)

Step 2:

Substituting the vertex in the equation we have,

f(x) = a(x-1)2 -2

Substituting the point (3,6) in this we have,

6 = a(3-1)2 - 2 => 6 = 4a -2

=>  4a = 8 => a = 2

Step 3 :

Substituting the value for a and the vertex in the given equation we have

f(x) = 2(x-1)2 -2 = 2(x2 - 2x + 1) -2 = 2x2 - 4x

=> f(x) = 2 x^{2} -4x  which is the standard form

You might be interested in
Assessment 2 Solving Equations (w. Distribution). -7(-x + 8) + 2x = -5 - 8x show your work pleaes
Jlenok [28]

Answer:

-11-8 + 80 - -9

4 0
3 years ago
Read 2 more answers
Shane and Karen want to measure the length of a soccer field. Should they use centimeters or meters to measure it? Explain.
Ber [7]

Shane and Karen want to measure the length of a soccer field. Length can be measured in different units such as cm, m ,km , yards etc. The question is asking us to select between two units cm or meters which will be more appropriate to measure the field.

To measure the field a larger unit is required. Meter is a bigger unit than centimeter.Centimeter is not the correct unit to measure the length of soccer field.

Shane and Karen should use meters to measure the soccer field.


3 0
3 years ago
Read 2 more answers
Two catalysts in a batch chemical process, are being compared for their effect on the output of the process reaction. A sample o
anzhelika [568]

Answer:

2.083 < µ1 - µ2 < 5.917  

Step-by-step explanation:

We will need to construct a 90% confidence interval for the difference of 2 means where the populations are normally distributed, and their variances are equal.

The calculations of the sample means and standard deviations are done for us.

Sample 1: Catalyst 1

n = 12, x = 85, s = 4

Sample 2:  Catalyst 2

n = 10, x = 81, s = 5

See attached photo for the construction of the confidence interval...

3 0
3 years ago
Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra want
Alisiya [41]

Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

  • L is its length
  • W is its width
  • H is its height

The volume of the cone is V = \frac{1}{3} π r² h, where

  • r is the radius of its base
  • h is its height

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

∴ L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

∴ H = 3 cm

→ Find the volume of the batter using the 1st rule above

∵ V = 33 × 23 × 3

∴ V = 2277 cm³

∵ Alandra wants to pour the batter into ice cream cones

∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm

∴ h = 9 cm

∵ r = \frac{1}{2} diameter = \frac{1}{2} (4)

∴ r = 2 cm

→ Substitute them in the 2nd rule above to find the volume of each cone

∵ V = \frac{1}{3} (π) (2)² (9)

∴ V = 12π cm³

→ To find the number of cones divide the volume of the batter by

   the volume of each cone

∵ Number of cones = 2277 ÷ 12π

∴ Number of cones = 60.3993

→ We will take the whole number only because we need the whole cones

∴ Alandra can fill 60 whole cones

6 0
3 years ago
Please help me with this equation
vaieri [72.5K]
You need to include a picture or an equation
7 0
3 years ago
Other questions:
  • What is 0.0033% of 510? Round to the nearest hundredth.
    14·2 answers
  • Determine the distance between -7 and 7
    12·1 answer
  • Geometry, please HELP!! Will mark you brainiliest!!!
    15·2 answers
  • Two students, A and B, are working independently on homework (not necessarily for the same class). Student A takes X = Exp(1) ho
    9·1 answer
  • The tax on a property with an asseesed value of 90000 is 1200. what is the assesed value of a property if the tax is 2200?
    11·2 answers
  • Two sides of a triangle measure 8 ft and 12 ft, respectively. The included angle is 65˚. Approximately how long is the third sid
    5·1 answer
  • Please help me, it’s timed!!!
    7·2 answers
  • Hey please help, in your own words, what is a radical expression?
    6·1 answer
  • F(-3) if f(x) = - 4x – 4
    12·2 answers
  • NEED HELP ASAP The measures of three line segments are given in each set. Which set of line segments cannot form a triangle? A)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!