Mathematics, 22.07.2019 21:30 kmontanab00

What are the vertex and x-intercepts of the graph of y=(x-4)(x+2)? a. x-intercepts: (4,,0) b. vertex: (-1,-5) c. vertex: (1,-9) d. vertex: (1,9) e. x-intercepts: (-4,,0) f. x-intercepts: (-4,,0)

Answers: 1

Show answers

Answers

Answer from: suewignall

A. x-intercepts: (4,0),(-2,0)

C. Vertex: (1,-9)

Step-by-step explanation:

We have been given factored form of a quadratic equation y=(x-4)(x+2) . We are asked to find vertex and x-intercepts of our given equation.

We know that x-intercepts of a graph are those points at which graph touches or crosses x-axis and y-coordinates of x-intercepts are always zero.

So we will substitute y=0 in our given equation to find the x-intercepts.

0=(x-4)(x+2)

$(x-4)=0\text{ or }(x+2)=0$

$x-4+4=0+4\text{ or }x+2-2=0-2$

$x=4\text{ or }x=-2$

Since y-coordinates of x-intercepts will be 0, therefore, x-intercepts of the graph will be (4,0), (-2,0) and option A is the correct choice.

To find the vertex of the parabola, we will expand our given expression using FOIL.

(x-4)(x+2)

x*x+x*2-4*x-4*2

x^2+2x-4x-8

x^2-2x-8

We will use formula $\frac{-b}{2a}$ to find the x-coordinate of vertex of parabola, where, a and b represents the coefficient of $x^2\text{ and }x$ respectively.

$\text{x-coordinate of vertex}=\frac{-(-2)}{2*1}$

$\text{x-coordinate of vertex}=\frac{2}{2}=1$

Now we will substitute x=1 in the expression to find the y-coordinate of parabola.

$\text{y-coordinate of vertex}=1^2-2*1-8$

$\text{y-coordinate of vertex}=1-2-8$

$\text{y-coordinate of vertex}=-9$

Therefore, the vertex of parabola will be at point (1,-9) and option C is the correct choice.

Answer from: Quest

Igot 108 hope that’s right !

Answer from: Quest

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

Another question on Mathematics

Mathematics, 21.06.2019 13:30

After two years, how much has been paid into interest?

Answers: 1

Answer

Mathematics, 21.06.2019 16:40

One of the inventors of integrated circuits observed that the number of transistors that fit on an integrated circuit will double every 24 months. what type of relationship most appropriately models this situation?

Answers: 3

Answer

Mathematics, 21.06.2019 18:00

Two students were asked if they liked to read. is this a good example of a statistical question? why or why not? a yes, this is a good statistical question because a variety of answers are given. b yes, this is a good statistical question because there are not a variety of answers that could be given. c no, this is not a good statistical question because there are not a variety of answers that could be given. no, this is not a good statistical question because there are a variety of answers that could be given

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

How do i multiply two digit numbers

Answers: 1

Answer

You know the right answer?

What are the vertex and x-intercepts of the graph of y=(x-4)(x+2)? a. x-intercepts: (4,,0) b. vert...

Questions