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stiv31 [10]
2 years ago
7

What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 1/6x2 - 9?

Mathematics
1 answer:
kaheart [24]2 years ago
3 0

Using shifting concepts, it is found that the correct option is:

B. The graph of f(x) is vertically compressed by a factor of 6 and shifted 9 units down.

---------------------------

  • The parent function is f(x) = x^2.
  • The first transformation is a multiplication by 1/6. Multiplying by 1/a is the same as vertically compressing by a factor of a, thus, it was vertically compressed by a factor of 6.
  • Then, 9 was subtracted. When a is subtracted from the function, it means that it was shifted down a units, thus, it was shifted down 9 units, and the correct option is B.

A similar problem is given at brainly.com/question/24465194

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What is the slope of a line that is parallel to the line represented by the equation 3x+4y=12?
mash [69]

Slope-intercept form is:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

(there is probably another way to do this, but I will be doing it this way)


Isolate the "y" in the equation

3x + 4y = 12       Subtract 3x on both sides

4y = 12 - 3x        Divide 4 on both sides

y=3-\frac{3}{4}x  or   y=-\frac{3}{4} x+3   The slope is -3/4


For lines to be parallel, they have to have the SAME slope. The given line's slope is -3/4, so the slope of the parallel line is also -\frac{3}{4}

8 0
3 years ago
Please help me with this
Llana [10]
4 unknowns needs 4 equations. I'll call the unknown numbers a,b,c,d in that order left to right.

4 + a = b
a + b = c
b + c = d
c + d = 67

let's use substitution to get rid to combine equations and get rid of variables.
If a + b = c then a = c - b
4 + (c - b) = b
4 + c = 2b

If b + c = d then b = d - c
4 + c = 2(d - c)
4 + c = 2d - 2c
4 + 3c = 2d

then we have c + d = 67 so c = 67 - d

4 + 3(67 - d) = 2d
4 + 201 - 3d = 2d
205 = 5d
d = 41

Should be easy now, subtract backwards.

67 - 41 = 26
41 - 26 = 15
26 - 15 = 11
15 - 11 = 4

4, 11, 15, 26, 41, 67


3 0
3 years ago
Plz help me with the answer
UkoKoshka [18]

Answer:

<h2>y = 4</h2>

Step-by-step explanation:

Put x = 9 to the equation 3x + 4y = 43

(3)(9) + 4y = 43

27 + 4y = 43            <em>subtract 27 from both sides</em>

4y = 16            <em>divide both sides by 4</em>

y = 4

5 0
3 years ago
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