Answer:
Option a is right.
Step-by-step explanation:
Parent funciton is
The new graph is
Since there is no change for x, there is no horizontal shift.
BUt since sign is changed there is a reflection on the line y=0 i.e. x axis.
Also new y is -2x^3 , -2 indicates the vertical shrink by scale factor 1/2
Option a is right
i.e. there is a reflection on x axis also there is a compression of scale factor 2 vertically.
Answer:
Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.
Step-by-step explanation:
Given:
In Δ PQT
PQ = 30 ft
QT = 28 ft
TP = 20 ft
In Δ QRS
QR = 15 ft
RS = 14 ft
SQ = 10 ft
To Prove:
Δ PQT ~ Δ QRS
Proof:
First we consider the ratio of the sides
..............( 1 )
..............( 2 )
..............( 3 )
So By equation ( 1 ), ( 2 ) and ( 3 ) we get
Now in Δ PQT and Δ QRS we have
Which are corresponding sides of a similar triangle in proportion.
∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved
