Answer:
a) It's a quadratic
b) f(x) = A(x-3)(x-7)
c) she is right
Step-by-step explanation:
(0-12)/(3-1) = -6
(-4-0)/(5-3) = -2
Since the slope is not constant, it can't be a linear.
Therefore a quadratic
Since the zeroes are 3 and 7,
Factors are (x - 3) and (x - 7)
f(x) = A(x - 3)(x - 7)
Use any one point besides the x-intercepts to find A
12 = A(1-3)(1-7)
12 = 12A
A = 1
f(x) = (x - 7)(x - 3)
f(x) = x² - 7x - 3x + 21
f(x) = x² - 10x + 21
She is right
Answer: -3, -2.5, -1, 2, 5.
Explanation:
The number line goes from the smallest number to the largest number. As an example you may ask why -3 is smaller than -1 even though it looks larger. This is because it actually isn’t since it is negative. When a number is negative, the higher the number are the smaller it is. One more example could be that -10 is smaller than -5.
Answer:
1/36
Step-by-step explanation:
When the coefficient is 1, the function has zeros at -3 and -5, one horizontal unit from the vertex. You want to move the zero to (2, 0), which is 6 units from the vertex. To achieve a horizontal stretch by a factor of 6, the value of x in the function must be replaced by x/6. That would make the coefficient of x^2 be (1/6)^2 = 1/36.
The coefficient of the squared term is 1/36.
The correct answer is b :)
Answer:
6
Step-by-step explanation:
Estimate it kid. Look at the existing dots.