Answer:
Function 1 written in vertex form is f(x) = -x^2 + 8x - 15 = -(x^2 - 8x + 15) = -(x^2 - 8x + 16 + 15 - 16) = -(x - 4)^2 - (-1) = -(x - 4)^2 + 1
Therefore, vertex = (4, 1)
Function 2 written in vertex form is f(x) = -x^2 + 4x + 1 = -(x^2 - 4x - 1) = -(x^2 - 4x + 4 - 1 - 4) = -(x - 2)^2 - (-5) = -(x - 2)^2 + 5
Therefore vertex = (2, 5)
Function 1 has a maximum at y = 1 and function 2 has a maximum at y = 5. Therefore, function 2 has a larger maximum.
Step-by-step explanation:
Answer:
x = 19.5
Step-by-step explanation:
-2x + 7 = -32 (subtract 7 on both sides)
-7 -7
-2x = -39 (Divide by -2)
x = 19.5
Answer:
y = −
2
x − 8
Step-by-step explanation:
Write in slope-intercept form, y
=
m
x
+
b
.
180° - 36° - 39° - 33° = <u>7</u><u>2</u><u>°</u>
x° = 180° - 72°
x° = <u>1</u><u>0</u><u>8</u><u>°</u>
So, the value of x is 108°
<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>
Answer:
The easiest method is to find the x-intercepts of the quadratic function by substituting y=0 in the function and solving it to find the possible values of x. The number of all possible values of x is the number of x-intercepts of the graph.
