Answer:
The minimum value = -38
Step-by-step explanation:
∵ f(x) = x² - 12x - 2
∵ -12x ÷ 2 = -6x ⇒ -6 × x
∴ (x - 6)² = x² - 12x + 36
∴ Add and subtract 36 in f(x)
∴ f(x) = (x² - 12x + 36) - 36 - 2
∴ f(x) = (x - 6)² - 38 ⇒ completing square
∴ The vertex of the parabola is (6 , -38)
∵ Its minimum point because the coefficient of x² is positive
∴ The minimum value = -38
Answer:
1. 4c-8
2. 8x-8
Step-by-step explanation:
multiply the number on the outside of the brackets by the numbers on th inside
4*c=4c
4*-2=-8
so 1. 4c-8
and for question 2:
8*x=8x
8*-1=-8
8x-8
Answer:
-<u>T</u><u>h</u><u>e</u><u> </u><u>g</u><u>r</u><u>a</u><u>p</u><u>h</u><u> </u>crosses <u>t</u><u>h</u><u>e</u><u> </u>y-axis <u>a</u><u>t</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>p</u><u>o</u><u>i</u><u>n</u><u>t</u><u> </u><u>(</u>0,0)
<u>N</u><u>o</u><u>n</u><u>e</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>g</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>o</u><u>p</u><u>t</u><u>i</u><u>o</u><u>n</u><u>s</u><u> </u><u>i</u><u>s</u><u> </u><u>c</u><u>o</u><u>r</u><u>r</u><u>e</u><u>c</u><u>t</u><u> </u>
<u>A</u><u> </u><u>g</u><u>r</u><u>a</u><u>p</u><u>h</u><u> </u><u>c</u><u>r</u><u>o</u><u>s</u><u>s</u><u>e</u><u>s</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u>y-axis <u>a</u><u>t</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>p</u><u>o</u><u>i</u><u>n</u><u>t</u><u> </u><u>(</u>0,y).<u>T</u><u>h</u><u>i</u><u>s</u><u> </u><u>m</u><u>e</u><u>a</u><u>n</u><u>s</u><u> </u><u>t</u><u>h</u><u>a</u><u>t</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>g</u><u>r</u><u>a</u><u>p</u><u>h</u><u> </u><u>w</u><u>i</u><u>l</u><u>l</u><u> </u><u>c</u><u>r</u><u>o</u><u>s</u><u>s</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u>y-axis <u>w</u><u>h</u><u>e</u><u>n</u><u> </u>x-=0
To find the point where the graph crosses the y-axis,substitute x=0 into the given equation y-9x
substitute x=0 into the equation y-9x to find the corresponding value of y
That is,
y=9(0)
y=0
therefore the graph crosses the y-axis at the point (0,0)
Step-by-step explanation:
hope it hlps
Step-by-step explanation:
es fácil -2y + 3y - 5y=
-4y
Answer:
m=15
Step-by-step explanation: