The graphs of the functions $f(x) = x^2 + 2x - 3$ and $g(x) = -x^2 - 2x + 3$ are shown below - Junior Cycle Mathematics - Question a - 2014
Question a
The graphs of the functions $f(x) = x^2 + 2x - 3$ and $g(x) = -x^2 - 2x + 3$ are shown below. Identify each graph by writing $f(x)$ or $g(x)$ in the space provided b... show full transcript
Worked Solution & Example Answer:The graphs of the functions $f(x) = x^2 + 2x - 3$ and $g(x) = -x^2 - 2x + 3$ are shown below - Junior Cycle Mathematics - Question a - 2014
Step 1
Identify the graph of $f(x)$
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
f(x) corresponds to the graph on the left, as it opens upwards and has a vertex at the position indicated.
Step 2
Identify the graph of $g(x)$
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
g(x) corresponds to the graph on the right, as it opens downwards with the vertex located at the specified coordinates.
Step 3
Write down the roots of $h(x)$
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The roots of h(x) are x=−2 and x=3.
Step 4
Equation: $h(x) = $
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
h(x)=(x+2)(x−3) or h(x)=x2−x−6.
Step 5
Write down the roots of $k(x)$
97%
117 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The roots of k(x) are x=−3 and x=2.
Step 6
Equation: $k(x) = $
97%
121 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
k(x)=(x+3)(x−2) or k(x)=x2+x−6.
Join the Junior Cycle students using SimpleStudy...
