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Sindrei [870]
3 years ago
10

The _______ represents half the distance between the maximum of a sine or cosine graph

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer: amplitude

Step-by-step explanation: The amplitude represents half the distance between the maximum of a sine or cosine graph.

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What is the difference (2 x - 3) - (x - 1)?<br> x minus 4<br> x minus 2<br> x + 2<br> x + 4
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x - 2

Step-by-step explanation:

2x - x = x

-3 - -1 = -2

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A: Quadrant IV

B. Quadrant III

Step-by-step explanation:

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2 years ago
Three vertices of a rectangle are given. Find the coordinates of the fourth vertex. (-3,-3) (7,-3) (7,2)
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3 years ago
Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the
tangare [24]

Answer:

Option D) h(x), f(x), g(x)

Step-by-step explanation:

we know that

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex of the parabola

Part 1) we have

f(x)=4x^{2} -1

This is a vertical parabola open upward

The vertex is a minimum The vertex is the point (0,-1)

The x-coordinate of the vertex is 0

so

The axis of symmetry is x=0

Part 2) we have

g(x)=x^{2}-8x+5

This is a vertical parabola open upward

The vertex is a minimum

Convert the equation into vertex form

g(x)-5=x^{2}-8x

g(x)-5+16=x^{2}-8x+16

g(x)+11=x^{2}-8x+16

g(x)+11=(x-4)^{2}

g(x)=(x-4)^{2}-11

The vertex is the point (4,-11)

The x-coordinate of the vertex is 4

so

The axis of symmetry is x=4

Part 3) we have

h(x)=-3x^{2}-12x+1

This is a vertical parabola open downward

The vertex is a maximum

Convert the equation into vertex form

h(x)-1=-3x^{2}-12x

h(x)-1=-3(x^{2}+4x)

h(x)-1-12=-3(x^{2}+4x+4)

h(x)-13=-3(x+2)^{2}

h(x)=-3(x+2)^{2}+13

The vertex is the point (-2,13)

The x-coordinate of the vertex is -2

so

The axis of symmetry is x=-2

Part 4) Rank their axis of symmetry from least to greatest

1) h(x) -----> axis of symmetry -2

2) f(x) -----> axis of symmetry 0

3) g(x) -----> axis of symmetry 4

so

h(x),f(x),g(x)

7 0
3 years ago
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