Answer:
Option (C)
Step-by-step explanation:
Quadratic parent function has been given as,
f(x) = x²
If we reflect this function across the x-axis and vertically stretched by a scale factor of 'k',
g(x) = -kx²
This quadratic function passes through a point (1, -4),
g(1) = -k(1)²
-4 = -k
k = 4
Therefore, the new function after transformation will be,
g(x) = -4x²
Option (C) will be the correct option.
The function g(x) is .
Given that,
The function g(x) is a transformation of the quadratic parent function,
We have to determine,
What function is g(x)?
According to the question,
The function f(x) is a transformation of the quadratic parent function,
In the given figure the function g(x) reflect across the x-axis and is vertically stretched by a scale factor of 'k',
Then, The function g(x) is,
Therefore,
The quadratic equation passes through the point (1,4),
Therefore,
The function g(x) is,
Hence, The required function g(x) is .
For more details refer to the link given below.
Answer:
x = -4 is the only solution.
Step-by-step explanation:
The given equation is 2x² + 8x = x² - 16
We can find the value of x by solving the equation.
(2x² + 8x) - x² = (x² - 16) - x²
x² + 8x = - 16
(x² + 8x) + 16 = (-16) + 16
x² + 8x + 16 = 0
(x + 4)² = 0 [ Since a² + b² + 2ab = (a + b)²]
⇒ (x + 4) = 0
x = -4
Therefore, x = -4 is the only solution of the given equation.
To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3
Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.
y=3x+b
2=3*(3)+b
2=9+b
-7=b So now we know the y-intercept and slope. We just put them together now
y=3x-7
Answer:
-1 7/8
Step-by-step explanation: