First write it in vertex form :-
y= a(x - 2)^2 + 3 where a is some constant.
We can find the value of a by substituting the point (0.0) into the equation:-
0 = a((-2)^2 + 3
4a = -3
a = -3/4
so our equation becomes y = (-3/4)(x - 2)^2 + 3
Answer:
∆STR ~ ∆RTQ
Step-by-step explanation:
For two fugures to be considered similar, it means the corresponding sides are proportional, and as such, the ratio of their corresponding sides are equal.
However, the corresponding angles of two similar figures are the same and equal.
Taking a look at the figure of the triangle given, ∆STR is a right angle triangle, and it is similar to ∆RTQ as the angle formed at <T in ∆RTQ = 90°.
<T in ∆STR = <T in ∆RTQ.
Therefore, the correct similarity statement is ∆STR ~ ∆RTQ.
The last option is correct.
We have that
the original (x,y) coordinates are being moved to the left by 3 units and up by 5 units.
therefore
the answer is the option
<span>(x, y) → (x – 3, y + 5)</span>
