Answer:
-5x-12
Step-by-step explanation:
Given f(x) = -5x+3, to get f(x+3), we are going to replace x in f(x) with x+3 as shown;
f(x) = -5x+3
f(x+3) = -5(x+3)+3
f(x+3) = -5x-15+3
f(x+3) = -5x-12
Hence the function f(x+3) is -5x-12
Answer:
Addition
Step-by-step explanation:
Answer:
The absolute value of the quadratic term,
is less than 1
Step-by-step explanation:
The given function is y = (-1/2)·x² - 7
The parent function is y = x²
The vertical compression or stretching of a quadratic function is given by the value of the coefficient, <em>a</em>, of the quadratic term, x² of a quadratic function, a·x²
A quadratic function is vertically compressed if the coefficient,
< 1.
In the given function, y = (-1/2)·x² - 7, the absolute value of the coefficient of the quadratic term,
< 1, therefore, the equation, y = (-1/2)·x² - 7, will be vertically compressed compared to the parent function, y = x².
Answer:
Step-by-step explanation:
The vertex is either the highest point on the parabola or the lowest point. We have a positive parabola, so the vertex is a low point. It sits at (2, -4). Locate that point and see what I mean by the lowest point on the parabola.
Answer:
the probability of a coin landing on heads 3 times in a row is 1/8 or 0.125 or 12.5%
Step-by-step explanation:
the chance of landing heads once is 1/2, for it to be 2 times in a row its 1/4, and 3 times in a row its 1/8, basically every time you want to do it in a row you multiply 1/2, so for example for this question you multiply 1/2 by however times you want the coin to land on heads in a row, (1/2) X(1/2)X(1/2)