Answer:
B
Step-by-step explanation:
Consider all options:
A. Transformation with the rule
is a reflection across the x-axis.
Reflection across the x-axis preserves the congruence.
B. Transformation with the rule
is a dilation with a scale factor of 
over the origin.
Dilation does not preserve the congruence as you get smaller figure.
C. Transformation with the rule
is a translation 6 units to the right and 4 units down.
Translation 6 units to the right and 4 units down preserves the congruence.
D. Transformation with the rule
is a clockwise rotation by 
angle over the origin.
Clockwise rotation by angle over the origin preserves the congruence.
This expression has three terms: the variables x, y, and z. We say that the first term is x, that the second term is y, and so on. This expression also has three terms: the number 7, the function f(x), and the variable a.
Answer:
The zeros of the function are;
x = 0 and x = 1
Step-by-step explanation:
The zeroes of the function simply imply that we find the values of x for which the corresponding value of y is 0.
We let y be 0 in the given equation;
y = x^3 - 2x^2 + x
x^3 - 2x^2 + x = 0
We factor out x since x appears in each term on the Left Hand Side;
x ( x^2 - 2x + 1) = 0
This implies that either;
x = 0 or
x^2 - 2x + 1 = 0
We can factorize the equation on the Left Hand Side by determining two numbers whose product is 1 and whose sum is -2. The two numbers by trial and error are found to be -1 and -1. We then replace the middle term by these two numbers;
x^2 -x -x +1 = 0
x(x-1) -1(x-1) = 0
(x-1)(x-1) = 0
x-1 = 0
x = 1
Therefore, the zeros of the function are;
x = 0 and x = 1
The graph of the function is as shown in the attachment below;
Answer:
Step-by-step explanation:
x^2+14x+45=0
x^2+(9+5)x+45=0
x^2+9x+5x+45
x(x+9)+5(x+9)=0
(x+9)(x+5)=0
either x+9=0 Or,x+5=0
x+9=0
x=0-9
x=-9
x+5=0
x=0-5
x=-5
therefore x=-9,-5
