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Vadim26 [7]
3 years ago
14

write an equation for a function that has a graph with the shape of y=x^2, but upsidedown and shifted right 6 units and up 4 uni

ts. ​
Mathematics
1 answer:
irina1246 [14]3 years ago
5 0

Answer:

y - 4 = -(x - h)^2

Step-by-step explanation:

We begin with the stock function y = x^2.  Its graph is a parabola with vertex at (0, 0) and opening up.  The more general vertex form of the graph is

y - k = a(x - h)^2, where the point (h, k) is the vertex and 'a' determines the direction of opening as well as by how much the parabola is stretched vertically.

In this problem the vertex is (6, 4); that is, the vertex is shifted to the right by 6 units and upward from there by 4 units.  The coefficient 'a' is -1, indicating that the graph opens downward.

So we have the equation y - 4 = -(x - h)^2.  Without more information we cannot tell whether the graph is stretched vertically or not.

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In many fast food restaurants, there is a strong correlation between a menu item's fat content (measured in grams) and its calor
Kruka [31]

Answer:

1. The slope of the least-squares regressin line is 11.364

2. The intercept of the least-squares regression line is 204.343

3. The residual corresponding to this observation is -10 calories

Step-by-step explanation:

1. In order to calculate the slope of the least-squares regressin line we would have to use the following formula:

slope of the least-squares regressin line=r*sy/sx

Therefore, slope=0.979*324.90/27.99

slope=11.364

2. In order to calculate the intercept of the least-squares regression line we would have to use the following formula:

intercept of the least-squares regression line=ybar - slope*xbar

intercept=662.88 - 11.364*40.35

intercept=204.343

3. In order to calculate the the residual corresponding to this observation we would have to use the following formula:

residual = observed y - predicted y

predicted y=11.364*x + 204.343

if the x value is 7, therefore predicted y=11.364*107 + 204.343

predicted y=1,420

Therefore, residual=1410 calories - 1420 calories

residual=-10 calories

8 0
4 years ago
I don't understand word problems can someone please answer it for me and I need it ASAP.
maksim [4K]

Answer:

Inequality: 3 + 1.2c

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5 0
4 years ago
2x(6x^2 + 3x - 1)<br><br> Simplify
likoan [24]
Answer: 12x^3+ 6x^2- -2x
6 0
3 years ago
Rewrite in simplest terms: 5w -9( 6W + 9) help please<br>​
nikitadnepr [17]
I believe the answer is 11W-0 or just plain 11W
4 0
3 years ago
What is the area of this figure?
Elanso [62]
First of all we can draw a parallel line to divide the figure into a triangle and a rectangle as shown in the figure. To find the area of our rectangle, remember that the area of a rectangle is length times width, so A_{r} =lw. Since we know for our figure that the length and width of our rectangle are 13cm and 6cm respectively, lets replace those values in our formula to get its area:
A _{r} =(13cm)(6cm)
A=78cm^{2}
Similarly, the area of a triangle is one half times base times height, so At=( \frac{1}{2})bh. Since we know that our base is 8cm and our height 6cm, lets replace those values in our equation to find the area of our triangle:
A_{t} =( \frac{1}{2})(8cm)(6cm)
A_{t} =24cm^{2}

Now the only thing left is add our areas:
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We can conclude that the correct answer is <span>A. 102</span>

4 0
3 years ago
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