In the following three apps the reference function is graphed in red and the new function is written in blue. Check the appropriate boxes for the new function and type in the vertex. The app will indicate if you are correct or if you need to keep working.
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Compare the following functions to the reference function \(f(x) = x^2\)
4) \(g(x)=2x^2\)
5) \(h(x)=x^2−3\)
6) \(j(x)=(x+5)^2\)
7) \(k(x)=\Large\frac{2}{3}\normalsize x^2\)
8) \(m(x)=(x−2)^2+7\)
9) \(n(x)=\Large\frac{4}{3}\normalsize x^2\)
10) \(p(x) = -1.01(x + 2)^2\)
11) \(q(x)=-x^2 + 5\)
12) \(r(x)=(x − 1.9)^2 − 3.5\)
13) \(t(x)=-\Large\frac{9}{8}\normalsize (x+7)^2 − 2\)
Write a function that matches the description below
14) Compared to the reference function, \(g(x)\) is vertically stretched and translated \(4\) units to the left.
15) Compared to the reference function, \(g(x)\) is reflected over the x-axis and has a vertex at \((-9, 1)\).
16) Compared to the reference function, \(g(x)\) is vertically compressed, opens down and is translated to the right five and up two units.
Error Analysis: Describe the students mistake and make the needed correction(s).
4) \(g(x)=2x^2\)
5) \(h(x)=x^2−3\)
6) \(j(x)=(x+5)^2\)
7) \(k(x)=\Large\frac{2}{3}\normalsize x^2\)
8) \(m(x)=(x−2)^2+7\)
9) \(n(x)=\Large\frac{4}{3}\normalsize x^2\)
10) \(p(x) = -1.01(x + 2)^2\)
11) \(q(x)=-x^2 + 5\)
12) \(r(x)=(x − 1.9)^2 − 3.5\)
13) \(t(x)=-\Large\frac{9}{8}\normalsize (x+7)^2 − 2\)
Write a function that matches the description below
14) Compared to the reference function, \(g(x)\) is vertically stretched and translated \(4\) units to the left.
15) Compared to the reference function, \(g(x)\) is reflected over the x-axis and has a vertex at \((-9, 1)\).
16) Compared to the reference function, \(g(x)\) is vertically compressed, opens down and is translated to the right five and up two units.
Error Analysis: Describe the students mistake and make the needed correction(s).