Answer:
Option 3
Step-by-step explanation:
we are given the graph of a parabola
with vertex at (0,-1) and symmetrical about y axis and also open up.
Hence the equation of the graph would be transformation of ![y=x^2](https://tex.z-dn.net/?f=y%3Dx%5E2)
by a vertical shift of 1 unit down.
So new equation after transformation would be
![y+1=x^2](https://tex.z-dn.net/?f=y%2B1%3Dx%5E2)
Or![y=x^2-1](https://tex.z-dn.net/?f=y%3Dx%5E2-1)
Hence option 3 is right choice.
Verify:
Put Solving the equation we get
![x^2=1](https://tex.z-dn.net/?f=x%5E2%3D1)
![x=±1](https://tex.z-dn.net/?f=x%3D%C2%B11)
In the graph x intercepts are the same as -1 and 1
Hence our answer is right.
Well 1A is wrong as 13+4=17 and 11+7=18 and 2B is also wrong as 6 squared is 36 and 4 squared is 16,36+16=52 6+4=10 10 squared is 100 on (6+4) squared you would do the addition as there is BIDMAS brackets indices division multiplication addition and subtraction
Answer:
1. When we reflect the shape I along X axis it will take the shape I in first quadrant, and then if we rotate the shape I by 90° clockwise, it will take the shape again in second quadrant . So we are not getting shape II. This Option is Incorrect.
2. Second Option is correct , because by reflecting the shape I across X axis and then by 90° counterclockwise rotation will take the Shape I in second quadrant ,where we are getting shape II.
3. a reflection of shape I across the y-axis followed by a 90° counterclockwise rotation about the origin takes the shape I in fourth Quadrant. →→ Incorrect option.
4. This option is correct, because after reflecting the shape through Y axis ,and then rotating the shape through an angle of 90° in clockwise direction takes it in second quadrant.
5. A reflection of shape I across the x-axis followed by a 180° rotation about the origin takes the shape I in third quadrant.→→Incorrect option
The statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
0.1x + 0.25y = 19.9 and
x + y = 100
Let x = number of dimes
y = number of quarters
After solving the above system of equations by substitution method.
![\rm \dfrac{398-5y}{2}+y=100](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B398-5y%7D%7B2%7D%2By%3D100)
y = 66
![\rm x=\dfrac{398-5\cdot \:66}{2}](https://tex.z-dn.net/?f=%5Crm%20x%3D%5Cdfrac%7B398-5%5Ccdot%20%5C%3A66%7D%7B2%7D)
x = 34
Thus, the statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66
Learn more about the linear equation here:
brainly.com/question/11897796
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