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vaieri [72.5K]
3 years ago
7

Select the statements that are true for the graph of y=(x+2)^2+4

Mathematics
2 answers:
likoan [24]3 years ago
3 0
Alrigty

in form
y=a(x-h)^2+k
the vertex is (h,k)
the constant, a, deterimines the size and direction
if a>0, then the parabola opens up and the vertex is the minimum
if a<0 then the parabola opens down and the vertex is the maximum

so we are given
y=1(x-(-2))^2+4
1>0 so it opens up
vertex is (-2,4)
the vertex is a minimum


the vertex is (-2,4) and the graph has a minimum
barxatty [35]3 years ago
3 0

The answers are b) The graph has a minimum and c) the vertex is (-2,4). I just took the test it is correct!

Hope this helped you! :3

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Solve 4/x-4=x/x-4-4/3 for x and determine if the solution is extraneous or not
4vir4ik [10]

<u>Answer:</u>

x = 4 (extraneous solution)

<u>Step-by-step explanation:</u>

\frac { 4 } { x - 4 } = \frac { x } { x - 4 } - \frac { 4 } { 3 } \\ \frac { 4 } { x - 4 } - \frac { x } { x - 4 } = - \frac { 4 } { 3 } \\ \frac { 4 - x } { x - 4 } = - \frac { 4 } { 3 } \\ 3 ( 4 - x ) = - 4 ( x - 4 ) \\ 1 2 - 3 x = - 4 x + 1 6 \\ 4 x - 3 x = 1 6 - 1 2 \\ x = 4 \\

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back x=4, we will get two fractions with zero denominator which would be undefined.

7 0
3 years ago
Please answer please
Murrr4er [49]

<BAC = <DEC = 30°

<BCA = <DCE = 70°

<CDE (or m<D) = 180° - <DEC - <DCE

<CDE = 180° - 30° - 70°

<CDE = 80°

The number that belongs in the green box is 80

3 0
4 years ago
(2.1 x 104) + (3.5 x 106)
igor_vitrenko [27]

Answer:

the answer is 589.4

Step-by-step explanation:

In doing this equation you do the order of operations:

(2.1 x 104)= 218.4

(3.5 x 106)= 371

you then add the answers together to get:

218.4 + 371 = 589.4

8 0
3 years ago
Which equation is a point slope form equation for line AB?
MAVERICK [17]

Answer:

the answer is c

Step-by-step explanation:


8 0
4 years ago
Read 2 more answers
What is the end behavior of the graph?
hichkok12 [17]
Imagine that this curve is a roller coaster. A dot on the roller coaster would be a car for a person to sit in, so to speak. As this car moves to the right, the car ultimately moves downward. So this means that as x gets larger, y gets smaller. Put another way: as x approaches infinity, f(x) approaches negative infinity.

Similarly, we can move the other way to work our way to the left. Moving to the left has us go up this time. As x approaches negative infinity, f(x) approaches positive infinity

These two facts point to choice B as the final answer
8 0
3 years ago
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