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3 years ago

Which ordered pair is the vertex of y = |x + 2| - 1

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Answer:

(- 2, - 1 )

Step-by-step explanation:

The standard form of the absolute value function is

y = a | x - h | + k

where (h, k) are the coordinates of the vertex and a is the slope

Given

y = | x + 2 | - 1, then

vertex = (- 2, - 1 )

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Can you simplify -4X - X =

vlabodo [156]

Sure ... exactly the way you simplify "2 + 2" when it comes up in conversation ... perform the indicated operation wherever possible. In simplified form, -4x-x is written as. " -5x ".

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3 years ago

Order least to greatest: -5, -8, 2, 0, 3, 1, -1

UkoKoshka [18]

-Least to greatest-

The numbers that have a negative sign in front of them come first because they are less than 0. The other numbers can be ordered by what comes first. For example, 3 is bigger than 1 so 3 would come after 1.

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3 years ago

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which statements are true about the graph of the function f(x) = 6x – 4 x2? check all that apply. the vertex form of the functio

Brut [27]

Answer:

The vertex of the function is the point $(-3,-13)$

The graph increase over the interval--------> (-3,∞)

Step-by-step explanation:

we have

$f(x)=6x-4+x^{2}$

1) Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+4=x^{2}+6x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+4+9=x^{2}+6x+9$

$f(x)+13=x^{2}+6x+9$

Rewrite as perfect squares

$f(x)+13=(x+3)^{2}$

$f(x)=(x+3)^{2}-13$ -----> function in vertex form

2) Find the vertex

The vertex of the function is the point $(-3,-13)$

3) Find the axis of symmetry

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

The x-coordinate of the vertex in this problem is equal to $x=-3$

therefore

the equation of the axis of symmetry is $x=-3$

4) Find the increase-decrease intervals

The graph increase over the interval--------> (-3,∞)

The graph decrease over the interval--------> (-∞,-3)

see the attached figure to better understand the problem

5) Find the x-intercepts of the function

we know that

the x-intercepts are the values of x when the value of the function is equal to zero

In this problem the x-intercepts are

$(-6.61,0)$ and $(0.61,0)$

The function cross the x-axis twice

see the attached figure

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4 years ago

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1. Find the unit rate for lessons at Sit and Stay School. Show your work. Write your answer in the space below.

timofeeve [1]

Answer: $8

Step-by-step explanation:

96/12=8/1

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3 years ago

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On babylonian tablet ybc 4652, a problem is given that translates to this equation: x (x/7) (1/11) (x (x/7)) = 60 what is the so

Yanka [14]

Thanks for posting your question here. The answer to the above problem is x = 48.125. Below is the solution:

x+x/7+1/11(x+x/7)=60
x = x/1 = x • 7/7
x • 7 + x/ 7 = 8x/7 - 60 = 0
x + x/7 + 1/11 • 8x/7 - 60 = 0
8x • 11 + 8x/ 77 = 96x/ 77
96x - 4620 = 12 • (8x-385)
8x - 385 = 0
x = 48.125

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3 years ago

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