Answer: a
Step-by-step explanation:
Answer:
x = 2 and x = -2
Step-by-step explanation:
The quadratic formula of a quadratic of the form ax² + bx + c is:
x = or x =
Here, our equation is: 3x² - 18 = -6. Let's move all the terms to one side:
3x² - 12 = 0
a = 3 and c = -12. Notice that since there's no x term, b = 0.
Plug these into the quadratic formula:
x =
or
x =
So, x = 2 and x = -2.
9514 1404 393
Answer:
y +4 = -5/14(x -7)
Step-by-step explanation:
The slope can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (1 -(-4))/(-7-7) = 5/-14 = -5/14
The point-slope form is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Filling in the given values, we have ...
y +4 = -5/14(x -7)
Answer:
g(x) = x² + 5x + 2
Step-by-step explanation:
If a function is f(x) = x²
And this function is shifted 4 units left then the rule to be followed is,
g(x) = f(x + 4)
Following the same rule,
For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,
g(x) = f(x + 4)
g(x) = (x + 4)² - 3(x + 4) - 2
= x² + 8x + 16 - 3x - 12 - 2
= x² + 5x + 2
Therefore, g(x) = x² + 5x + 2 will be the transformed function.