In this problem, you have to find the y- intercept of

. I graphed mine into a graphing calculator. An algebraic way to find it is to input x=0 in the function. The y-intercept is 5. You can see the y-intercept for the new one is -2. That means we shifted the graph down 7 units. (Vertical Shift down 7)
k=-7
1. You turn all mixed numbers into improper fractions
2. Multiply the numerators
3. Multiply the denominator’s
4. Reduce the final answer and convert back to mixed numbers if needed
Answer:
4x² + 13x + 3 and 2x² - 3x - 17
Step-by-step explanation:
(a)
f(x) + g(x)
= 3x² + 5x - 7 + x² + 8x + 10 ← collect like terms
= 4x² + 13x + 3
(b)
f(x) - g(x)
= 3x² + 5x - 7 - (x² + 8x + 10)
= 3x² + 5x - 7 - x² - 8x - 10 ← collect like terms
= 2x² - 3x - 17
Answer:
Slope =
or -1
y = 6
Step-by-step explanation:
The equation given (y = 6 - x) is the same as saying
y = -1x + 6
Since we have a negative x variable and a positive 6 and would also be graphed the same. The only difference is that the second equation I just mentioned resembles the y = mx + b expression more. In this case the slope would be
Slope =
or -1
While the y-intercept would be
y = 6 - x
y = 6 - 0
y = 6