Easy -1.2 This is a straightforward recall question testing knowledge that b² - 4ac = 0 means the quadratic has exactly one root (touches the x-axis once). Students simply need to identify which sketch shows a parabola touching the x-axis at one point, requiring minimal problem-solving beyond basic discriminant interpretation.
1 Four possible sketches of \(y = a x ^ { 2 } + b x + c\) are shown below.
Given \(b ^ { 2 } - 4 a c = 0\) and \(a , b\) and \(c\) are non-zero constants, which sketch is the only one that could possibly be correct?
Tick ( \(\checkmark\) ) one box.
A
\includegraphics[max width=\textwidth, alt={}, center]{b7df05bf-f3fc-4705-a13c-6b562896fa9f-02_383_303_995_550}
\includegraphics[max width=\textwidth, alt={}, center]{b7df05bf-f3fc-4705-a13c-6b562896fa9f-02_113_111_1128_1009}
B
\includegraphics[max width=\textwidth, alt={}, center]{b7df05bf-f3fc-4705-a13c-6b562896fa9f-02_113_111_1562_1009}
C
\includegraphics[max width=\textwidth, alt={}, center]{b7df05bf-f3fc-4705-a13c-6b562896fa9f-02_223_300_1868_548}
\includegraphics[max width=\textwidth, alt={}, center]{b7df05bf-f3fc-4705-a13c-6b562896fa9f-02_108_109_2001_1009}
D
\includegraphics[max width=\textwidth, alt={}, center]{b7df05bf-f3fc-4705-a13c-6b562896fa9f-02_388_301_2305_549}
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1 Four possible sketches of $y = a x ^ { 2 } + b x + c$ are shown below.\\
Given $b ^ { 2 } - 4 a c = 0$ and $a , b$ and $c$ are non-zero constants, which sketch is the only one that could possibly be correct?
Tick ( $\checkmark$ ) one box.
A\\
\includegraphics[max width=\textwidth, alt={}, center]{b7df05bf-f3fc-4705-a13c-6b562896fa9f-02_383_303_995_550}\\
\includegraphics[max width=\textwidth, alt={}, center]{b7df05bf-f3fc-4705-a13c-6b562896fa9f-02_113_111_1128_1009}
B\\
\includegraphics[max width=\textwidth, alt={}, center]{b7df05bf-f3fc-4705-a13c-6b562896fa9f-02_113_111_1562_1009}
C\\
\includegraphics[max width=\textwidth, alt={}, center]{b7df05bf-f3fc-4705-a13c-6b562896fa9f-02_223_300_1868_548}\\
\includegraphics[max width=\textwidth, alt={}, center]{b7df05bf-f3fc-4705-a13c-6b562896fa9f-02_108_109_2001_1009}
D\\
\includegraphics[max width=\textwidth, alt={}, center]{b7df05bf-f3fc-4705-a13c-6b562896fa9f-02_388_301_2305_549}\\
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\hfill \mbox{\textit{AQA Paper 2 2021 Q1 [1]}}