Answer:

Step-by-step explanation:
The parent function denotes the simplest function (free from any horizontal/vertical stretch/compression) that represents a family of functions. In this case the term 1/4 indicates a horizontal stretch and should be removed to find the parent function of
. From here we're in simplest form, since
or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.
Answer:
x
=
4
,
−
10
Step-by-step explanation:
Answer:
a) x = 13
b) x = 7
Step-by-step explanation:
A) Since they have the same base of 2 so
x + 4 + (-5) = 12
x - 1 = 12
x = 13
b) Since they have the same base of -3 so
8 + x + 4 = 19
x + 12 = 19
x = 7
The equation of parabola is y = 3x²- 12x+ 15.
<u>Step-by-step explanation:</u>
The equation of the parabola is given as y = x².
If it has a vertex then the equation can be written as,
y = a(x-h)² + k
where (h, k ) is the vertex and a is the stretching or compressing factor.
So here the vertex is (2,3) and it is vertically stretched by 3.
So the equation is given as,
y = 3(x-2)² + 3
y = 3(x² -4x+4) + 3
= 3x² - 12x + 12 + 3
y = 3x²- 12x+ 15 is the equation of the parabola.