Answer:
Step-by-step explanation:
Given
Required
Determine g(x), if f(x) is reflected across the y axis
<em>When a function (x,y) is reflected across the y axis, the new function becomes (−x,y).</em>
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In other words,
Calculating f(-x)
Substitute g(x) for f(-x)
<em>Hence;</em>
The standard form of the quadratic equation is ax^2 + bx + c. In vertex form, it's y = a(x – h)2 + k.
The graph of a quadratic equation is a parabola, which looks like a u. If <em>a</em> is negative then it's an upside down u.
Hello!
In order to find out the volume of any prism, you are to do length x width x height.
Because we only know the length and the width, we can multiply those to get started. 3 x 5 is 15, so we know that's what we can start with.
Because we know the volume, all we have to do is do h x 15 = volume (45). Now, what is height?
In order to find the height, we must find a number that, when multiplied by 15, equals 45.
So we can try out 3, which when multiplied by 15, equals 45.
That means 3 is your height.
Hope I helped! :)
Answer:
x = -1, y = 2 and z = 1
Step-by-step explanation:
The given system of equations are :
2x - y + 3z= -1 ....(1)
x + 2y - 4z = -1 ......(2)
y – 2z = 0 .....(3)
Equation (3) can be written as :
y = 2z
Use y = 2z in equation (2)
x + 2(2z) - 4z = -1
x + 4z - 4z = -1
x = -1
Put the value of x in equation (1) :
-2 -y +3z = -1
-y+3z = 1 ....(4)
Adding equation (3) and (4)
y-2z+(-y+3z)=1
z = 1
Now put z = 1 in equation (4)
-y+3=1
-y = -2
y = 2
Hence, the values of x,y and z are -1, 2 and 1 respectively.
Because if you rotate an object 360 degrees it’s like the object never moved because the object would still be in the same spot as if you didn’t move it
