How to graph 2 (X+4)^2-6?

Mathematics

2 answers:

raketka [301]4 years ago

6 0

Direction: Opens UpVertex: (−4,−6)-4,-6Focus: (−4,−478)-4,-478Axis of Symmetry: x=−4x=-4Directrix: y=−498

Brums [2.3K]4 years ago

6 0

You have to choices:

Either you make a table with x and y, and plot the resulting values

Or

You would graph the parent function
$y=x^2$

then:
shift it to the left 4 units
and
shift it down 6 units
and
compress it vertically with factor of 2

I think this would help you.

Feel free to ask if you faced any difficulties...

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A=1/2bh. A=200ft. H=10. What is b

Svetllana [295]

Answer:

B= $\frac{2A}{H}$

Step-by-step explanation:

If you noticed, A= $\frac{1}{2}$ BH is the formula for finding the area for a triangle. Your goal is to get B by it's self. Your first step will be to clear of the fraction first, so you will multiply both sides by 2. 2(A)=2( $\frac{1}{2}$ BH). On the left, you have 2×A= On the right side, you have 2( $\frac{1}{2}$ BH), but since you have a number in the equation, you will only use 2× $\frac{1}{2}$ . To solve 2× $\frac{1}{2}$ , you will cnacel out both 2's and you have 1. 1×BH will still equal BH, so you are now left will B×H.

(Your new equation looks like this by the way). 2A=BH

Since you need to get B by its self, the way to clear the H away from the B is by dividing. You will now divide the B and H aswell as 2A and H. (It will look like this) $\frac{2A}{H} = \frac{BxH}{H}$ . (Again when you have the same number or letter, you cross it out. When you divide, you won't change anything on the left side, and all you have to do on the right id to cross out the H next to the B and cross out the H on the bottom of the equation). You should be left with $\frac{2A}{H}$ = B. Now you can turn it around for your final answer. B= $\frac{2A}{H}$ .