All categories

3 years ago

Graph y=(x+2)^2-3 Show Vertex

1 answer:

3 0

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
y=(x+2)^2-3\implies y=\stackrel{a}{1}[x-\stackrel{h}{(-2)}]^2\stackrel{k}{-3}\quad 
\begin{cases}
h=-2\\
k=-3
\end{cases}$

You might be interested in

Which digit is in the hundred millions place in the number 465,382,109,728

Allisa [31]

3 is in the hundred millions

7 0

3 years ago

Read 2 more answers

The table shows the outputs, y, for different inputs, x:

ASHA 777 [7]

Part A:
Yes, the data represent a function because there is at least one x-value for every y-value.

Part B:
When x=6 in the input-output table, y=14. When x=6 in the relation f(x)=7x-15, f(x)=7(6)-15=27. The equation has a greater value when x=6.

Part C:
Set f(x) equal to 6 in the equation:
6=7x-15
Solve for x:
7x=21
x=3
x=3 when f(x)=6

3 0

3 years ago

Suppose your friends have the following ice cream flavor preferences: 70% of your friends like chocolate (C). The remaining do n

tekilochka [14]

Answer:

The proportion of this group that likes chocolate is 0.625.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Likes sprinkles

Event B: Likes chocolate

25% of your friends who like Chocolate (C) also like sprinkles (S).

This means that $P(A \cap B) = 0.25$

40% of your friends like sprinkles (S) topping.

This means that $P(A) = 0.4$

Of the friends who like sprinkles, what proportion of this group likes chocolate

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.25}{0.4} = 0.625$

The proportion of this group that likes chocolate is 0.625.

5 0

2 years ago

Tomas has a garden with a length of 2.4 meters and a width of 5/8 meters. Use benchmarks to estimate the area and perimeter of t

kumpel [21]

5/8 = .625 width

2 ( l + w ) = 2 ( 0.625+ 2.4) = 2 (3.025) = 6.05

Hop I become the brainiest

3 0

3 years ago

The graph of f(x) =(square root of "x") is reflected across the x-axis and then across the y-axis to create the graph of functio

vesna_86 [32]

Analysis:

1) The graph of function f(x) = √x is on the first quadrant, because the domain is x ≥ 0 and the range is y ≥ 0

2) The first transformation, i.e. the reflection of f(x) over the x axis, leaves the function on the fourth quadrant, because the new image is y = - √x.

3) The second transformation, i.e. the reflection of y = - √x over the y-axis, leaves the function on the third quadrant, because the final image is - √(-x). This is, g(x) = - √(-x).

From that you have, for g(x):

* Domain: negative x-axis ( -x ≥ 0 => x ≤ 0)

* Range: negative y-axis ( - √(-x) ≤ 0 or y ≤ 0).

Answers:

Now let's examine the statements:

A)The functions have the same range:FALSE the range changed from y ≥ 0 to y ≤ 0

B)The functions have the same domains. FALSE the doman changed from x ≥ 0 to x ≤ 0

C)The only value that is in the domains of both functions is 0. TRUE: the intersection of x ≥ 0 with x ≤ 0 is 0.

D)There are no values that are in the ranges of both functions. FALSE: 0 is in the ranges of both functions.

E)The domain of g(x) is all values greater than or equal to 0. FALSE: it was proved that the domain of g(x) is all values less than or equal to 0.

F)The range of g(x) is all values less than or equal to 0. TRUE: it was proved above.

4 0

3 years ago

Read 2 more answers