Answer:
The line equation is y = 1.5x + 3
Fill the first space with '1.5' and the second with '3'
Step-by-step explanation:
The generic model for a line equation is:
y = ax + b
To find the parameters 'a' and 'b', we can use two points of the graph in the equation.
Using the point (0, 3), we have:
3 = 0*a + b
b = 3
Using the point (-2, 0) and the value of b above, we have:
0 = -2*a + b
2a = 3
a = 1.5
So the line equation is y = 1.5x + 3
Given coordinates of the triangle RST are R(2,1), S(2,-2) and T(-1,-1).
Center of center of dilation is (2,-2).
Because center of dilation is (2,-2) so the coordinates of dilated image S(2,-2) would stay same.
Now, we need to apply rule for dilation with the scale factor 5/3.
<em>Each of R(2,1), and T(-1,-1) would be and R' and T' would be in ratio 5/3.</em>
<em>We will extend RS to 5 units and TS also 5 units.</em>
The new resulting image would be dilated triangle by a scale factor 5/3.
New coordinates would be
R'(2,3), S'(2,-2) and T'(-3,-2)
Answer:
The domain is y > 3
Step-by-step explanation:
y = 2⁻ˣ + 3
As x approaches -∞, y approaches ∞.
As x approaches ∞, y approaches 3.
So the range is y > 3, and there is an asymptote at y = 3.
Compared to the parent function y = 2ˣ, it is reflected over the y-axis and shifted up 3 units.
The false statement is "the domain is y > 3". Domain describes the possible values of x. Range describes the possible values of y.
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