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AlekseyPX
3 years ago
6

A parabola has a vertex of (3,-2) and a y intercept of 7. what is the equation of this parabola

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer:

Step-by-step explanation:

y=ax^2+bx+c

when x=0,y=7 so c=7

when x=3 then y=a*3^2+b*3+7=-2

9a+3b+7=-2

9a+3b=-2-7

9a+3b=-9

V(3,-2)

3=-b/2a

-b=3*2a

b=-6a

9a+3*(-6a)=-9

9a-18a=-9

-9a=-9

a=1

b=-6*1

b=-6a

b=-6

so y=x^2-6x+7

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2. Which algebraic expression represents the following phrase?
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The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²

Step-by-step explanation:

Let us represent some words by mathematics expressions

  • Square a number ⇒ x²
  • Square the sum of two numbers ⇒ (x + y)²
  • Sum of the squares of two numbers ⇒ x² + y²
  • Square of difference of two numbers (x - y)²
  • The difference of square two numbers x² - y²

∵ The expression is the square of the difference of s and 6

- That means find the difference between s and 6 at first,

   then square the difference

∵ The difference of s and 6 = s - 6

- Square this difference means but the difference in a bracket

   and then square the bracket

∴ The square of the difference = (s - 6)²

The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²

Learn more:

You can learn more about the algebraic expressions in brainly.com/question/10771256

#LearnwithBrainly

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