Let h(x) = 0.
Set each factor to 0 and solve for x.
-(x - 5) = 0
Disregard the negative sign in front of the parentheses.
x - 5 = 0
x = 5 is a zero.
x - 13 = 0
x = 13 is another zero.
The smaller zero is 5.
The larger zero is 13.
Both numbers make the quadratic function become zero.
Use the FOIL METHOD to express h(x) in standard form.
h(x) = -(x - 5)*x - 13)
After using FOIL, we get -x^2 + 18x - 65.
The square x term has a -1 in front. This number is the value of a in the formula below. The coefficient of x is 18. This is our b value.
x = -b/2a
x = -(18)/2(-1)
x = 18/2
x = 9
This number 9 just found is the x-coordinate of the vertex.
To find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify.
h(9) = -(9)^2 + 18(9) - 65
h(9) = 16
The vertex is located at the point (9, 16).
Answer: q=6r+16
q-10=6(r+1)
q-10=6r+6
q-10=6r+6
+10 +10
Q= 6r+10
I think that’s how you do it... sorry it’s been awhile I hope this helps
Answer:
D. (-2, -3) and (-2,3) are reflections of each other over the x-axis.
Step-by-step explanation:
The only difference between the points is that they have opposite y values.
When you reflect over the x axis, the y value becomes its opposite. This would change the -3 to 3 and the 3 to the -3.
On a graph it appears like you're flipping the point upside down.
Therefore, the points were reflected over the x axis.
Answer:
(x + 5)(3x + 5)
Step-by-step explanation:
(x - 5)(x + 8) + (x + 5)(2x - 3) ← factor out (x + 5) from each term
= (x + 5)(x + 8 + 2x - 3)
= (x + 5)(3x + 5)
Step by step:
y^2- 14y+48=0
y^2-14y=-48
y^2-14y+49=-48+49
(y-7)^2=1
Answer: y=7+-1