Answer:
Step-by-step explanation:
If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²
<h3>Transformation of functions</h3>
Transformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as
f(x) = x^2
If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²
If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²
Learn more on translation here: brainly.com/question/12861087
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F = 18 ft.
The law of cosines states
c² = a² + b² - 2ab cos C
Using our information, we have
c² = 23² + 16² - 2(23)(16)cos 52
c² = 529 + 256 - 736cos 52
c² = 785 - 736cos 52
c² = 331.8732
Taking the square root of both sides, we have
c = √331.8732 = 18.22 ≈ 18
<span>Every point went up 4 units and left 3 units.
</span><span>Point X on the triangle moved up 4 and left 3.
That formed a right triangle with legs 4 and 3.
The distance point X moved to point X', d, is the hypotenuse of the right triangle.
</span><span>Using the Pythagoras Theorem
</span><span><span>3^2</span>+<span>4^2</span>=<span>d^2
d = 5
</span></span>
Answer:
4
Step-by-step explanation:
B = (6,5) C = (6,9)
√(x2 - x1)² + (y2 - y1)²
√(6 - 6)² + (9 - 5)²
√(0)² + (4)²
√16
= 4
