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krek1111 [17]
3 years ago
10

The area of this trapezium

Mathematics
1 answer:
Vikentia [17]3 years ago
4 0
H=5cm as we use 1/2(a+b)h which is trapezium formula

1/2(10+6)h=40
h=5
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(3 feet,9 inches)+(2 feet,11 inches)= feet, inches
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What is the domain of the cubic parent function?
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3 years ago
How is the graph of the parent quadratic function transformed to produce the graph of y = negative (2 x + 6) squared + 3?
bearhunter [10]

We start with the parent function

f(x)=x^2

The first child function would be

g(x)=(2x)^2

We have multiplied the input of the function by a constant: we have

g(x)=f(2x)

This kind of transformation result in a horizontal stretch/compression. If the multiplier is greater than 1, we have a compression. So, this first child causes a horizontal compression with compression rate 2.

The second child function would be

h(x)=(2x+6)^2

We added 6 to  the input of the function: we have

h(x)=g(x+6)

This kind of transformation result in a horizontal translation. If the constant added is positive, we translate to the left. So, this second child causes a translation 6 units to the left.

The third child function would be

l(x)=-(2x+6)^2

We changed the sign of the previous function (i.e. we multiplied it by -1): we have

l(x)=-h(x)

This kind of transformation result in a vertical stretch/compression. If the multiplier is greater than 1 we have a stretch, if it's between 0 and 1 we have compression. If it's negative, we reflect across the x axis, and then apply the stretch/compression. In this case, the multiplier is -1, so we only reflect across the x axis.

The fourth child function would be

m(x)=-(2x+6)^2+3

We added 3 to previous function: we have

m(x)=l(x)+3

This kind of transformation result in a vertical translation. If the constant added is positive, we translate upwards. So, this last child causes a translation 3 units up.

Recap

Starting from the parent function y=x^2, we have to:

  • Compress the graph horizontall, with scale factor 2;
  • Translate the graph 6 units to the left;
  • Reflect the graph across the x axis;
  • Translate the graph 3 units up

Note that the order is important!

5 0
3 years ago
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