3 years ago

Which table shows exponential decay?

Mathematics

1 answer:

vazorg [7]3 years ago

5 0

I dknt see anything but just numbers no pic so ima guess 8

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1.- What type of parabola is this?

xz_007 [3.2K]

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Part 1

Sideways or "horizontal" parabola with a horizontal axis of symmetry.

Part 2

The vertex is the turning point: (-3, 1)

Part 3

Vertex form of a horizontal parabola:

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

where:

(h, k) is the vertex
a is some constant
If a > 0 the parabola opens to the right.
If a < 0 the parabola opens to the left.

Point on the curve: (-1, 2)

Substituting the vertex and the found point into the formula and solving for a:

$\implies -1=a(2-1)^2-3$

$\implies -1=a-3$

$\implies a=2$

Part 4

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Equation in standard form:

$x=2y^2-4y-1$

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