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- Question 1 of 10
##### 1. Question

Find the proper expression of the graph.

CorrectIncorrect - Question 2 of 10
##### 2. Question

Find the \(x \)-intercepts of \(y = {x^2} – 3x – 1\).

CorrectIncorrect##### Hint

\(x \)-intercept is where \(y = 0\).

- Question 3 of 10
##### 3. Question

\(y = x + k\) is a tangent to \(y = 2{x^2} – 3x + 4\). Find \(k \).

\(k = \)

CorrectIncorrect##### Hint

\({b^2} – 4ac = 0\) for a tangent

- Question 4 of 10
##### 4. Question

Find the vertical asymptote(s) of \(f\left( x \right) = \dfrac{1}{{{x^2} + 4x + 3}}\).

CorrectIncorrect - Question 5 of 10
##### 5. Question

If the domain of \(y = {x^3}\) is \(1 < x \le 2\), state the range of \({y^{ - 1}}\).

CorrectIncorrect - Question 6 of 10
##### 6. Question

Solve the following simultaneous equations by elimination.

\(\left\{ {\begin{array}{*{20}{c}}

{2x + 3y = 5}\\

{3x – 2y = 27}

\end{array}} \right.\)\(x = \) , \(y = \)

CorrectIncorrect - Question 7 of 10
##### 7. Question

A rectangle is 180 cm

^{2}in area and the length is 5 times the width. Find its dimension.length = cm, width = cm

CorrectIncorrect - Question 8 of 10
##### 8. Question

Find \( k\) values in order to have all real values as solutions.

\(\left\{ {\begin{array}{*{20}{c}}

{4x + y = k}\\

{y = – 4x + 5}

\end{array}} \right.\)CorrectIncorrect - Question 9 of 10
##### 9. Question

Given \(f\left( x \right) = {x^2}\) is transformed to \(g\left( x \right) = {\left( {x – 3} \right)^2} + 2\), find the image of the point \(x = – 3\).

( , )

CorrectIncorrect - Question 10 of 10
##### 10. Question

Given the graph of $y=f(x)$ in blue, find the proper expression of the graph in red.

CorrectIncorrect