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3 years ago

How do I turn this vertex form -2(x-0)^2 + 18 in to a standard form

1 answer:

8 0

Answer:
-2x^2+18
Explanation:
Since (x-0)^2 is the same thing as (x-0)(x-0), you should multiply out (x-0)^2, you’ll get this
-2(x^2-0x-0x+0)+18
Then simplify
-2(x^2)+18
-2x^2+18

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|x-1|+2<4 solving for x

Ganezh [65]

Answer:

x < 3 and x > -1

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

$|x-1| + 2 - 2 < 4 - 2$
$|x-1|$

Step 2: Solve absolute value.

We know x - 1 < 2 and x - 1 > -2.

Condition 1:

$x - 1 < 2$
$x - 1 + 1 < 2 + 1$ (Add 1 to both sides)
$x < 3$

Condition 2:

$x - 1 > -2$
$x - 1 + 1 > -2 + 1$ (Add 1 to both sides)
$x>-1$

Therefore, the answer is x < 3 and x > -1.

8 0

2 years ago

How do i calculate a final grade if the course is 80 percent and the final exam is 20 percent

ANEK [815]

I think its like if you got 80% on a quiz and 20% on the exam then your grade would be 60% which is usually a F

7 0

3 years ago

Please help :(((((((((((

coldgirl [10]

Answer:

a = 9, b = 3, c = 0

Step-by-step explanation:

f(x) = (1/3)^x

a = f(-2) = (1/3)^-2= 9

b = f(-1) = (1/3)^-1 = 3

c = f(0) = (1/3)^0 = 1

whenever something is to the power of 0, the answer will always be 1

6 0

3 years ago

Write an equation for each translation of Y=|x|.

Digiron [165]

$\boxed{y=\mid x \mid +14}$

<h2>Explanation:</h2>

Let's graph the equation:

$y=\mid x \mid$

Which is the red graph shown below. As you can see this is the pattern of the Absolute Value Function. In order to translate this graph 14 units up, let's add 14 to $\mid x \mid$ . In doing so we get the new function:

$y=\mid x \mid + 14$

So we get a new graph which is the blue one. In order to prove that this is the correct translation, let's take the vertex of the red graph which is the origin. To translate this graph 14 units up implies that each point is shifted 14 units up, so for the vertex of the red graph:

$Vertex \ of \ the \ red \ graph: \\ \\ V(0,0) \\ \\ \\ Vertex \ of \ the \ new \ graph: \\ \\ (0,0+14) \\ \\ (0,14)$

So the new vertex matches the vertex of the blue graph. Finally, the equation for the translation of $y=\mid x \mid$ 14 units up is $y=\mid x \mid +14$