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Afina-wow [57]
3 years ago
13

Determine the equation of the graph, and select the correct answer below.

Mathematics
1 answer:
Alinara [238K]3 years ago
3 0

Answer:

The equation of the parabolic function is :

y=(x-1)^2-3

Step-by-step explanation:

The standard equation of a parabola is given by:

y=a(x-h)^2+k

where (h,k) represents the vertex of the parabola.

From the graph shown in figure we can find the vertex of the parabola which is the minimum point of parabola and lies st point (1,-3)

So, we can say:

(h,k)\rightarrow (1,-3)

Plugging in the values of vertex in standard equation of parabola,

y=a(x-1)^2+(-3)

Simplifying the equation:

y=a(x-1)^2-3

We can find value of a by plugging in a point from the graph.

Using point (0,-2) which lies on graph.

Plugging in the given point.

-2=a(0-1)^2-3

-2=a-3

Adding 3 to both sides.

-2+3=a-3+3

1=a

∴ a=1

Plugging in a=1, the equation of parabola can be written as:

y=(x-1)^2-3

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Pls ans.thanks a lot
yawa3891 [41]

Answer:

you're answer is -2

Step-by-step explanation:

i hope this helped you have a nice day  :)

6 0
3 years ago
Simplify 4x+2 - x^2 +x-12 / x-3<br><br> a) 3x-2<br> b)3x+4<br> c)5x-4<br> d)5x+4
Ostrovityanka [42]
Hello

The asnwer is C.

Have a nice day
3 0
3 years ago
Read 2 more answers
Math is hard, 7th grade math too..
VARVARA [1.3K]

Answer:

i could be wrong but i think its x=3 :(

Step-by-step explanation:

3 0
2 years ago
2.
dimaraw [331]

Answer:

-7 < -4 < 0 < 7

Step-by-step explanation:

Given

Change: -4, 7, -7 and 0

Required

Compare them

From the list of given options, we can observe that the inequality < is used in all options.

This implies that we arrange from least to highest

The least is -7

Then, -4

Then 0

And lastly, 7

So, we have:

-7 < -4 < 0 < 7

3 0
2 years ago
X+3y=5<br> -2x-6y=-10<br><br> Solve using elimination
RSB [31]
Slimination
multiply first equaiton by 2
2x+6y=10
add to second equiaotn
2x-2x+6y-6y=10-10
0=0
this is true so therfor they are the same equaiton

so solve
x+3y=5
3y=-x+5
y=-1/3x+5/3

subsituter values for x and get valuse for y

if x=2 then y=1
3 0
3 years ago
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