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Whitepunk [10]
3 years ago
7

HELP HELP I NEED HELP ASAP Graph y-7=-3(x-1).

Mathematics
1 answer:
lana [24]3 years ago
7 0
Since this is in point-slope form, you know one of the points, which is (1,7), and you know the slope, which is -3. So you can plot (1,7) on the graph and then use the slope to plot more points by going down 3 and right 1, or up 3 and left 1.
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rusak2 [61]

Answer:

  • See below

Step-by-step explanation:

f(x) is quadratic function and g(x) is linear (since AP in the right column).

<u>Find the equation of the function f(x), use the points on the graph:</u>

  • f(x) = ax² + bx + c
  • c = 5 as the y-intercept is (0, 5)
  • a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
  • a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4

<u>The function is:</u>

  • f(x) = -x² + 4x + 5

Find the equation of g(x)

<u>Find the slope of g(x):</u>

  • m = (1 - 7)/(-1 + 4) = -2

<u>Use (-4, 7) to find its equation:</u>

  • y - 7 = -2(x + 4)
  • y = -2x + 7 - 8
  • y = -2x - 1
<h3>See the required comparison below</h3>

<u>The y-intercepts:</u>

  • f(x) ⇒ 5,
  • g(x) ⇒ -1
  • -5 < - 1

<u>Values at x = 3:</u>

  • f(3) = -3² + 4(3) + 5 = 8
  • g(3) = -2(3) - 1 = - 7
  • 8 > 7

<u>Average rate of change in the interval [2,5]:</u>

  • f(x) ⇒ (0 - 9)/(5 - 2) = -3
  • g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
  • -3 < -2

<u>Max of function in the interval [-5, 5];</u>

  • f(x) ⇒ 9, vertex of the function
  • g(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function
  • 9 = 9
4 0
3 years ago
Read 2 more answers
-25=-6x+5y 2x-5=y solve by substitution
Citrus2011 [14]
If you need clarification just reply back so I can help

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