Which phrase best describes the translation from the graph y=(x-5)^2+7 to the graph of y=(x+1)^2-2
2 answers:
Answer:
Shifted by 6 units left on the x-axis and 9 units down on y-axis.
Step-by-step explanation:
Since the original graph is
It a parabola which is shifted 5 left on x axis from the origin and 7 units upwards on y - axis.
This graph is translated to y = (x + 1)²- 2
Which is 1 unit shifted on x-axis from the origin and 2 units down on y-axis.
Therefore the translated graph is shifted on x-axis by [-5 -1 ] = -6 units
Or 6 units to the left on x- axis.
and on the shifted on y axis by [-2, -7] = -9 units
Or 9 units down on y- axis.
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The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.
<h3>What is the Quartic Formula?</h3>
The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.
<h3>What is the solution to the above question?</h3>
First we restate the above equation:
x²-3x+2= √(x-2) + 2
Next we remove square roots - 6x³ + 9x² = x - 2
Add two to both sides
→ - 6x³ + 9x²+2 = x - 2 +2
→ - 6x³ + 9x²+2 = x
Subtract X from both sides
→ - 6x³ + 9x²+2 -x = x -x
→ - 6x³ + 9x²+2 - x= 0
Using the Quartic formula to solve the fourth order equation:
a + bx³ + cx² + dx + e
The resolution of x is given as:
x = 2.691085, 3.346753
Because the fraction nearest to 3.4 is 55/16
hence, the correct answer is Option A.
Learn more about quadratic equations at;
brainly.com/question/25841119
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Answer:
The third exterior angle is
Step-by-step explanation:
Given
Required
The third exterior angle
The exterior angles of a triangle add up to 360 degrees.
So:
Make the subject
Substitute known values