3.) Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Check all that apply.The vertex form of the function is f(x) = (x – 2)2 + 2.
The vertex of the function is (–3, –13).
The axis of symmetry for the function is x = 3.
The graph increases over the interval (–3, infinity symbol).
The function does not cross the x-axis.

Answers

Answer 1

Answer:

Find the vertex of the parabola given by the formula $f(x) = 6x - 4 + x^2$ :

$f(x) = 6x - 4 + x^2=x^2+2\cdot x\cdot 3-4=x^2+2\cdot x\cdot 3+3^2-3^2-4=(x+3)^2-9-4=(x+3)^2-13.$

1. As you can see this vertex form differ from the vertex form in option A, then A is incorrect.

2. When x=-3, f(-3)=-13 and the vertex has coordinates (-3,-13) - option B is true.

3. From the attached graph you can see that the axe of symmetry is line x=-3 that passes through the vertex. This means that choice C is incorrect.

4. From the attached graph you can see that the function is increasing for x>-3 and decreasing for x<-3. Option D is correct.

5. The graph intersects x-axis at two points (see attached diagram). Option E is incorrect.

Answer 2

Answer:

It is clear from the information given that Both Options B and Option D are correct. While options A and C are incorrect.

What is the Graph of a Function?

The set of all points in the plane of the form (x, f(x)) is known as the graph of a function f(x).

In order words, it is the collection of all ordered pairs of the function. Examples of real-life applications of GraphFunctions are:

Recommendation Engines
Path Optimization Algorithms
Social Graphs
Knowledge Graphs
Scientific Computations

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kirby often forgets to switch the inequity sign when dividing a negative. when solving 3x-10≥x, should kirby collect the variables on the left or the right? why?

Answers

You should collect the variable on the left side since you can't have two variables of the same letter on each side.so you would take the variable from the right side and subtract it from the left. So subtract x on both sides. Your new problem is 2x-10 is greater than or equal to 0. Now you add 10 on both sides. Your new problem is 2x is greater than or equal to 10. Now divide by 2 on both sides. Your answer would be x is greater than or equal to 5

Los puntos (-4,4) y (2,3) estan ubicados en la linea H .¿cuales el pendiente de la linea H?

Answers

pendiente = ( y2 - y1 ) / ( x2 - x1 )

(x,y)
(-4,4)
(2,3)

x1=-4
y1=4
x2=2
y2=3

pendiente = ( 3 - 4 ) / ( 2 - (-4) )

pendiente = ( -1 ) / ( 2+4 )

pendiente = -1/6

Janet used the following steps to solve43 + 3(-5 + 2). Which step has an error written in it?

Step 0: 43 + 3(-5 + 2)

Step 1: 43 + 3(-3)

Step 2: 12 + 3(-3)

Step 3: 12 + (-9)

Step 4: 3

Answers

Answer:

Step 2

Step-by-step explanation:

Janet replaced 43 from 12 out of nowhere, and there is nothing in the problem indicating that 43 should be changed into 12.

Which parent functions have a domain of all real numbers?Linear
Absolute Value
Quadratic

Answers

The parent function of linear function has a domain of all real numbers option (A) Linear is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is:

Which of the following parent functions has a domain and range of all real:

Linear

Absolute Value

Quadratic

The linear function is:

f(x) = ax + c

Domain = all real numbers

Range = all real numbers

The absolute value function:

f(x) = |x|

Domain = all real number

Range = all positive real numbers

The quadratic function:

f(x) = ax² + bx + c

Domain = all real number

Range = all positive numbers

Thus, the parent function of linear function has a domain of all real numbers option (A) Linear is correct.

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the parent function is the linear function

Pls pls help me bro i’m abt to fail

Answers

10 hours babysitting and 3 tutoring

A town has two malls. 62% of the town’s residents shop at Willow Creek Mall. 73% of the residents shop at Two Harbors Mall. 48% of the residents visit both malls. On any given day, what is the probability that a person chosen at random will visit either Willow Creek or Two Harbors?a. 0.87
b. 0.64
c. 0.62
d. 0.75
e. 0.48

Answers

The correct answer for the question that is being presented above is this one: "b. 0.64. "A town has two malls. 62% of the town’s residents shop at Willow Creek Mall. 73% of the residents shop at Two Harbors Mall. 48% of the residents visit both malls. On any given day, the probability that a person chosen at random will visit either Willow Creek or Two Harbors is 0.64

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