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2 answers:
We are given a triangle on the graph.
The vertices of the given triangle are (1,3), (-3,4) and (5,5).
The shown triangle is being transformed by the following rule
(x, y)→(x+3, y−2).
Let us apply same rule in each of the above coordinate
(1,3) →(1+3, 3 -2) → ( 4,1)
(-3,4) →(-3+3, 4 -2) → ( 0, 2)
(5,5) →(5+3, 5 -2) → ( 8, 3).
<h3>Therefore, coordinates of the transformed triangle are (4,1), (0,2) and (8,3).</h3>
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Answer:
(- 7, - 4 )
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the turning point is
x = -
y = x² + 14x + 45 ← is in standard form
with a = 1, b = 14 , then
x = - = - 7
Substitute x = - 7 into the equation and evaluate for y
y = (- 7)² + 14(- 7) + 45 = 49 - 98 + 45 = - 4
coordinates of turning point = (- 7, - 4 )
Answer:
(1, 6)
(7, 0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0 = -0.5x² + 4x - 3.5
0 = x² - 8x + 7
0 = (x - 7)(x - 1)
x - 7 = 0 or x - 1 = 0
x = 1 or 7
