Given the graph of y = 2x² is transformed into y = -2x² + 3.
For any function y = f(x), the transformation y' = -y = -f(x) reflects the graph across x-axis.
So it means that y = -2x² is the reflection of y = 2x² across the x-axis.
For any graph y = g(x), the transformation y' = y + k = g(x) + k shifts the graph 'k' units upward for all value of 'k' > 0.
So it means that y = -2x² + 3 is the shifted version of y = -2x² by '"3 units up".
Hence, option B and C are correct i.e. "reflection across x-axis" and "shift of 3 units up".
Answer:
18 minutes
Step-by-step explanation:
60/40=1.5
12 x 1.5 = 18
Answer:
First, you have to see how many gallons fill in a minute, obviously, so take 3/4 and divide it by 1/5, which gives 15/4. so you can see, don multiplied the two numbers instead of dividing, which is what he did wrong.Step-by-step explanation:
Answer from NukeExplosions1
The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).
<h3>What is the measure of the missing angle?</h3>
The image attached aside shows us a <em>right</em> triangle with two known <em>side</em> lengths (JL, KJ) and a <em>angle</em> measure (m ∠ K). The measure of the <em>missing</em> angle can be found by using the <em>trigonometric</em> function of cosine:
cos m ∠ J = KJ / JL
cos m ∠ J = 12 / 13
m ∠ J = 22.620°
The measure of the angle J within the triangle JKL is approximately 22.620°.
And the sine of the angle J, which helds the same <em>positive</em> sign than cosine as the angle is in the first quadrant on <em>Cartesian</em> plane, is:
sin m ∠J = √(1 - cos² m ∠J)
sin m ∠J = √[1 - (12 / 13)²]
sin m ∠J = 5 / 13
The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).
To learn more on trigonometric functions: brainly.com/question/6904750
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Answer = -6x + 12
3 x -2x = -6x
3 x 4 = 12
slide the addition slide into the equation