3. Commuinitive proterty 4. 0 5. The second one
The ordered pair (-3 ,
) is on g(x) ⇒ 1st answer
Step-by-step explanation:
Let us revise the reflection across the axes
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x) (change the sign of y)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x) (change the sign of x)
∵ 
∵ f(x) is reflected across the y-axis to create the function g(x)
- Change the sign of x
∴ 
To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it
∵ The coordinates of the point are (-3 ,
)
∴ x = -3 and y = 
- Substitute x by -3 in g(x)
∵ 
∴ 
∴ 
∵ 
∴ 
∴ 
- Divide up and down by 2
∴ 
∵ The value of g(x) equal to the y-coordinate of the point
∴ The point (-3 ,
) lies on g(x)
The ordered pair (-3 ,
) is on g(x)
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Answer:
1. x² + 3x - 5 = 0
2. x² - x = 3 x + 7
4. 7x² + 14x = 0
Step-by-step explanation:
A Quadratic equation takes the form;
ax² + bx + c = 0
a, b, c are constants and a cannot be 0.
Options 1 fits this;
x² + 3x - 5 = 0
Option 2 fits this as well;
x² - x = 3 x + 7
x² -x - 3x - 7 = 0
x² - 4x - 7 = 0
Option 4 fits this as well if c = 0.
7x² + 14x + 0 = 0