Answer: First option
Step-by-step explanation:
By definition, the horizontal shift depends on the value of <em>h </em>and the vertical shift depends on the value of <em>k</em><u>.</u>
indicates that the function if shifted to the right <em>h </em> units.
indicates that the function if shifted to the left <em>h </em> units.
indicates that the function if shifted down <em>k </em> units.
indicates that the function if shifted up <em>k </em> units.
Then:
If <em>h </em>is positive, the graph will shift to the right.
If <em>k </em>is negative, the graph will shift down.
As you can see in the graph, the function is shifted 4 units to the right and 2 units down. Therefore g(x) has the form:
Where:
Answer:
To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.
Step-by-step explanation:
Answer:
x^2+y^2-32x+24y+375=0
Step-by-step explanation:
Equation of circle with given centre (h,k) and radius=r is
(x-h)^2+(y-k)^2=r^2
Given centre are=(16, - 12) and radius= 5
So equation of circle=
(x-16)^2+(y- -12)^2=5^2
x^2-32x+256+y^2+24y+144=25
x^2+y^2-32x+24y+375=0
Answer
