From the graph we can observe that G(x) is obtained by shifting F(x) 3 units to the left and 1 unit upwards.
Thus, both horizontal and vertical translations are involved. Horizontal translation of 3 units to left can be obtained by adding 3 to x in the equation and vertical translation of 1 can be obtained by adding 1 to the entire function.
So,
G(x) = F(x+3) + 1
G(x) = (x+3)² + 1
Thus the correct answer is option C
Answer:
the answer is- g= 72/d minus f/d
<u>Answer- </u>D. There is a strong negative association between the variables
<u>Solution-</u>
Properties of Correlation Coefficient
1- Its value ranges between -1 and 1.
2- The greater the absolute value of correlation coefficient, the stronger is the linear relationship.
3- The weakest linear relationship is indicated by a correlation coefficient equal to 0.
4- A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.
5- A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.
As the given correlation coefficient is -0.98 (-ve), whose absolute value is 0.98 (closer to 1)
So there is a strong negative association between the variables.
Answer: the equation is
5x^2 -30x - 25
Step-by-step explanation:
A quadratic equation is one in which the highest power of the unknown is 2.
The general form of a quadratic equation is expressed as
ax^2 + bx + c
Where c is a constant and a is the leading coefficient
Assuming we want to write the quadratic equation in x, from the information given, the given roots are 5 and 1 and the leading coefficient is 5. We will just multiply the expression by the leading coefficient.
Therefore, the linear factors of the quadratic will be (x-5) and (x-1)
With the leading coefficient as 5, the equation becomes
5(x-5)(x-1)
= 5(x^2 - x - 5x + 5)
= 5(x^2 - 6x + 5)
= 5x^2 -30x - 25
F(x) = (x + 3)²
g(x) = f(x) - 7.
g(x) = (x + 3)² - 7
g(x) = (x + 3)(x + 3) - 7
g(x) = x*x + x*3 +3*x + 3*3 - 7
g(x) = x² + 3x + 3x + 9 - 7
g(x) = x² + 6x + 2
