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Studentka2010 [4]
3 years ago
14

Graph this quadratic funtion f(x)=x^2+1

Mathematics
1 answer:
lawyer [7]3 years ago
6 0
Let's examine the given function first:
f(x) = x^2 + 1    is the same as    f(x) = 1(x-0)^2 + 1.
The vertex of the graph of this function is at (0, 1).
Let x=0 to find the y-intercept:  f(0)=0^2+1 = 1; y-int. is at (0,1) (which happens to be the vertex also)

Comparing f(x) = x^2 + 1 to y = x^2, we see that the only difference is that f(x) has a vertical offset of 1.  So:  Graph y=x^2.  Then translate the whole graph UP by 1 unit.  That's it.  Note (again) that the vertex will be at (0,1), and (0,1) is also the y-intercept.
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José put $1,500 into a savings account. He earns 3% interest every year. How much simple interest will he earn at the end of 3 y
stiv31 [10]

He would have a total of: $1639.09

In intrest alone he would've made 1639.09

Step-by-step explanation:

3%= 0.03

  • The first thing you do is multiply $1,500 by the %3 (0.03).

  • When your done multiplying, you should get 45.

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  • Now you have 1545

  • Then you repeat the process over, two more times. However the numbers will change.

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3 years ago
The football player had a 5 yard loss on the<br> play.
artcher [175]

Answer:

whats the choses ?????

Step-by-step explanation:

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3 years ago
Help me solve for z, step by step if you can
zheka24 [161]

Answer:

z=6

Step-by-step explanation:

z/3 + 1/2 = 5/2

Subtract 1/2 from each side

z/3 + 1/2-1/2 = 5/2-1/2

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z = 6


5 0
3 years ago
Planet Krypton has 2 times the radius and 2 times the mass of the Earth. What is the best estimate for the magnitude of the grav
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7 0
3 years ago
Given: AB || CD
jarptica [38.1K]
First, find slope of point A and B using slope formula:
<u>y2-y1</u> = <u>7-0 </u>= <u>-7</u>
x2-x1    3-8     5

Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=<u>-7</u>(x-3)   (I used point B here)
        5
y=<u>-7x</u> +<u>56</u> so the y-intercept is <u>56</u>. Hurray! Part 1 down!
<span>     5      5                                   5

Now to answer part 2. Since AB ll CD, they have the same slope: <u>-7</u>
                                                                                                         5
Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
</span>y-y1=m(x-x1)
y-5=<u>-7</u>(x-5)
<span>        5
</span>y=<u>-7x</u> + 12 Yay! That's the answer to part 2; the equation of line CD
<span>     5</span>
3 0
3 years ago
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