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nevsk [136]
2 years ago
6

Given the parent function p(x)=x², which phrase best describes the transformation used to obtain the graph of g(x)=(x+a)²-b, if

a and b are both positive constants?
A) right a units, up b units
B) right a units, down b units
C) left a units, up b units
D) left a units, down b units
Mathematics
1 answer:
Vlad1618 [11]2 years ago
8 0

Answer:

D) left a units, down b units

Step-by-step explanation:

Changes close to x, affect the horizontal, left/right movement (but sort of the opposite direction than you would expect.... + left move and - right move)

A number tacked on to the end of the equation moves the curve up or down as you would guess (+ up and - down)

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<h3><u>Answer:</u></h3>

\boxed{\boxed{\pink{\bf \leadsto The \ slope \ of \ the \ line \ is \ \dfrac{-25}{21}.}}}

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Two points are given to us and we need to find the slope of the line . The slope of the line passing through points \bf (x_1,y_1 ) \ \& \ (x_2,y_2) is given by ,

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\bf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1} \\\\\bf\implies Slope =\dfrac{15-(-10)}{-15-6} \\\\\bf\implies  Slope = \dfrac{15+10}{-21}\\\\\bf\implies Slope =\dfrac{-1(25)}{-1(-21)}\\\\ \bf\implies\boxed{\red{\bf Slope =\dfrac{-25}{21}}}

<h3><u>★</u><u> </u><u>Hence </u><u>the</u><u> </u><u>slope</u><u> </u><u>of</u><u> the</u><u> </u><u>line</u><u> </u><u>join</u><u>ing</u><u> </u><u>the </u><u>two</u><u> </u><u>points</u><u> </u><u>is</u><u> </u><u>-</u><u>2</u><u>5</u><u>/</u><u>2</u><u>1</u><u> </u><u>.</u></h3>
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3 years ago
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<em><u>~Solve for z by simplifying both sides of the equation, then isolating the variable~</u></em>

<em><u /></em>

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