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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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Answer:

Example:

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2 years ago
Find the length of GF
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By the Pythagorean Theorem:

The square of the hypotenuse (longest side) of a right triangle is equal to the sum of the side lengths squared, or mathematically:

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9.4^2=6.8^2+GF^2

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The reason how I got 14 for the 7th term is because, i added 4 to each term.


Hope this helps!

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