Vertex form of the equation:
y = a ( x - h )² + k;
15 = a ( 0 - 4 )² - 1
15 = 16 a - 1
16 a = 16
a = 16 : 16
a = 1
After that we have to transform the equation to the standard form:
y = ( x - 4 )² - 1
y = x² - 8 x + 16 - 1
y = x² - 8 x + 15
Finally we have to find the zeroes:
x² - 8 x + 15 = 0
x² - 5 x - 3 x + 15 = 0
x ( x - 5 ) - 3 ( x - 5 ) = 0
( x - 5 ) ( x - 3 ) = 0
x = 3, x = 5
Answer:
( x 1, y 1 ) ; ( x 2 , y 2 ) = ( 3, 0 ) ; ( 5 , 0 )
The y-value changes sign when a point is reflected across the x-axis. The reflected point is (-3, -7).
Answer:
<em>f(g(x)) = </em>
<em> ; g(f(x)) = 7x - 30</em>
Step-by-step explanation:
9514 1404 393
Answer:
D. reals ≥ -4
Step-by-step explanation:
The range is the vertical extent of the graph. Here the graph goes down to -4 and includes all numbers greater than that. The range is ...
All real numbers greater than or equal to -4
Answer:
C - x=4
Step-by-step explanation:
The formula is a^2+b^2=c^2