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vladimir1956 [14]
3 years ago
15

5x ^ 2 + 2x + 11 - 7 + 4x - 2x ^ 2

Mathematics
1 answer:
yuradex [85]3 years ago
4 0

Answer:

3x^2 +6x +4

Step-by-step explanation:

5x ^ 2 + 2x + 11 - 7 + 4x - 2x ^ 2

Combine like terms

5x ^ 2- 2x ^ 2 +    2x + 4x     + 11 - 7

3x^2 +6x +4

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Isaiah writes an expression with 5 terms. All 5 terms are like terms. How
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1

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2 years ago
The graph of y = x^2 -3 is translated in 4 units to the left of the graph to give the graph A
Vedmedyk [2.9K]

Answer:

a) b = 8, c = 13

b) The equation of graph B is y = -x² + 3

Step-by-step explanation:

* Let us talk about the transformation

  • If the function f(x) reflected across the x-axis, then the new  function g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then the new  function g(x) = f(-x)
  • If the function f(x) translated horizontally to the right  by h units, then the new function g(x) = f(x - h)
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In the given question

∵ y = x² - 3

∵ The graph is translated 4 units to the left

→ That means substitute x by x + 4 as 4th rule above

∴ y = (x + 4)² - 3

→ Solve the bracket to put it in the form of y = ax² + bx + c

∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)

∴ (x + 4)² = x² + 4x + 4x + 16

→ Add the like terms

∴ (x + 4)² = x² + 8x + 16

→ Substitute it in the y above

∴ y = x² + 8x + 16 - 3

→ Add the like terms

∴ y = x² + 8x + 13

∴ b = 8 and c = 13

a) b = 8, c = 13

∵ The graph A is reflected in the x-axis

→ That means y will change to -y as 1st rule above

∴ -y = (x² - 3)

→ Multiply both sides by -1 to make y positive

∴ y = -(x² - 3)

→ Multiply the bracket by the negative sign

∴ y = -x² + 3

b) The equation of graph B is y = -x² + 3

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Rama09 [41]

Answer:

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Step-by-step explanation:

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Add c to each side

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Divide by 5

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