Answer:
- f(x) = x^3 -4x
- f(x) = -2x^3 +8x
Step-by-step explanation:
The zeros are at -2, 0, and +2, so the function will be of the form ...
f(x) = k·(x +2)(x)(x -2) . . . . . for some vertical expansion factor k
You recognize that (x+2)(x-2) is the factoring of the difference of squares, so ...
f(x) = k·x·(x^2 -4)
If we let x=1, we get
f(1) = k·(1)(1 -4) = -3k
For the first graph, it looks like we have ...
f(1) = -3 = -3k . . . . so, k = 1
For the second graph, it looks like we have ...
f(1) = 6 = -3k . . . . so, k = -2
_____
In standard form, the first graph is described by ...
f(x) = 1·x·(x^2 -4) = x^3 -4x
The second graph is described by ...
f(x) = -2x·(x^2 -4) = -2x^3 +8x
Answer:
(1,1)
Step-by-step explanation:
Since it is being translated to the left, we will subtract 3. It is now 4 - 3 = 1
The y-coordinate will go up 5 units. So -4 + 5 = 1
Therefore, the new point is (1,1)
13 860 000
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Answer:
Circle 2
Step-by-step explanation:
Intercepted arc refers to a section of the circumference of a circle. The line segment ZV refers to the length of the arc. The central angle is the angle at the center of the circle between the two radii or line segments at the ends of the arc meeting at the center of the circle.
In the images below, it can be seen Circle 2 has line segment ZV with central angle of 58 degrees.
Circle 1 shows an inscribed angle which is the angle between two chords at their point of intersection on the circumference of the circle. A chord is a line joining two points on the circumference of a circle. In this case, one of the chords is the diameter of the circle
Circle 3 shows the angle between a chord and tangent intersecting on the circumference of the circle
Circle 4 also shows an inscribed angle. The chords are not crossing through the center of the circle
Answer: cools rapidly
Step-by-step explanation:
Some igneous rocks contain crystals of very different sizes. These
rocks formed from magma that started cooling within Earth and then
erupted onto the surface. The large crystals grew as the magma cooled
slowly. The small crystals grew as the lava cooled quickly.
Hope this helps!
