Find the domain and range of a parabola with vertex (3, 4) and focus (1, 4).

9514 1404 393

Step-by-step explanation:

The focus is to the left of the vertex, so the parabola opens to the left. The domain is all values of x less than or equal to 3: (-∞, 3].

The vertical extent of the graph is all real numbers, so the range is (-∞, ∞).

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The graph shows the focus and directrix as well as the parabola.

439400

step-by-step explanation:

130^2 = 16900

16900*26 = 439400

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.