A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:
y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)
In this case we are given that (h,k) is (-5,80) so we have so far:
y=a(x--5)^2+80
y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:
-45=a(0+5)^2+80
-45=25a+80 subtract 80 from both sides
-125=25a divide both sides by 25
-5=a, so now we know the complete vertex form is:
y=-5(x+5)^2+80
The x-intercepts occur when y=0 so:
0=-5(x+5)^2+80 add 5(x+5)^2 to both sides
5(x+5)^2=80 divide both sides by 5
(x+5)^2=16 take the square root of both sides
x+5=±√16 which is
x+5=±4 subtract 5 from both sides
x=-5±4 so the x-intercepts are:
x=-1 and -9
Answer:A is a quadratic function
Step-by-step explanation:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. If you solve the function, y= 2x^2+x-6.
Answer:
ok so regrouping is when the top number of a equation is like for EXAMPLE 3 minus 6 ok so 3 is lower than six so the number on the left side you cross that out and you add it to the number that was on top which would make it 13 in this case so 13 minus six is 7 and that’s regrouping
Step-by-step explanation:
Answer:
x=9
y=
Step-by-step explanation:
This is a special type of triangle known as a 45-45-90 triangle.
The ratio for the sides of this triangle are x:x:x
Meaning that the two sides other than the hypotenuse are equal, so in this triangle x=9 because it is not a hypotenuse.
The hypotenuse, however, is the value of one side multiplied by .
In this case it is 9, so 9* =
