Becky has 6 packages of clay thy each weigh 5 pounds. To make a bowl she needs 3 pounds of clay. How many bowls can Becky make?
2 answers:
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It takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.
<h3>What is the axis of symmetry?</h3>Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.
1. The function is a parabola of the form . The the formula for the axis of symmetry of a parabola is . We can infer from our function that a= -16 and b = 48, so lets replace those values in our formula:
x = 1.5
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.
2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
t = 0, (t-3) = 0
t = 0, t = 3
From our previous point we know that the ball reaches its maximum time at , which means that it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.
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Answer:
C:
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
If you translate circle 1 with the vector (6,-4), the center will become
So, circles 1 and 2 are now concentric. The radii are, respectively, 2 and 6. This means that, if we dilate circle 1 with a scale factor of 3, its radius will become 6 as well.
After this two transformations, both circles will have center (2,1) and radius 6.