Answer:
j(x) = 5 |x+9|-23
Step-by-step explanation:
f(x) = |x|
translate left 9 units
y = f(x + C) C > 0 moves it left
g(x) = |x+9|
translate down 23 units
y = f(x) + C C < 0 moves it down
h(x)= |x+9|-23
stretch by a factor of 5
y = Cf(x) C > 1 stretches it in the y-direction
j(x) = 5 |x+9|-23
Answer:
Area = 28 cm²
Step-by-step explanation:
The formula for trapezoids is (<em>a</em> + <em>b</em>)/2 · <em>h</em>
In this case,<em> a</em> = 6
<em> b</em> = 8
<em>h</em> = 4
Plug in the numbers into the formula.
A = (<em>a</em> + <em>b</em>)/2 · <em>h</em>
A = (6 + 8)/2 · 4
A = (14/2) · 4
A = 7 · 4
A = 28
**Another trapezoid formula you might know it by is also..
A = 1/2(b₁ + b₂)<em>h</em>
I suggest memorizing the formula. If you know the formula, you'll be set! All you will do is plug in the numbers. I'm not sure if this will help, but b₁ (or <em>a</em>) is the top measurement. In this case, it's 6 cm. And the b₂ (or <em>b</em>) is the bottom measurement, which is 8 cm in this case. The <em>h </em>or height is obviously 4 cm in this example.
