Answer:
The new points to the triangle will be:

Step-by-step explanation:
Because the reflection point is at
, all x values will subtract their distances from
to get their new values. The y values remain the same.
The starting values are:

Point
is 5 units away from
, so we'll subtract 5 from -1 to get the new x value:
, so
.
Point
is also 5 unit away from
, so we'll subtract 5 from -1 to get the new x value:
, so
.
Point
is 7 units away from
, so we'll subtract 7 from -1 to get the new x value:
, so
.
Answer:
C. F(x) = (x+2)²
Step-by-step explanation:
A horizontal shift to the right by "h" units is achieved by replacing x with (x-h). The shift we want is to the left by 2 units, so h = -2, and we have ...
f(x) = g(x -(-2)) = g(x+2)
f(x) = (x+2)²
Answer:
y = 89 x = 123
Step-by-step explanation:
since they're both in standard form, its easier to do the process of elimination
x - y = 34
-x -y -212
------------------
-2y = -178
y = 89
now plug in y to any one of those two equations
x - y = 34
x - 89 = 34
x = 123
<em>to check:</em>
<em>x</em><em> </em><em>+</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>
<em>1</em><em>2</em><em>3</em><em> </em><em>+</em><em> </em><em>8</em><em>9</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>
<em>2</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>
The y-coordinate is 16
<h3><u>Solution:</u></h3>
Given that a line with slope 3 passes through point (0, 10)
To find the y-coordinate of the point on the line with x-coordinate 2
Which means the point is (2, y)
Let us find the required y co-ordinate using slope formula
<em><u>The slope of line is given as:</u></em>
For a line containing points
and
is given as:


Given that slope "m" = 3
Substituting the values we get,

Thus the y-coordinate is 16