Advanced Math

Chief Editor

Mar 23, 2024

Take all 3 MCQs in interactive quiz mode with timer and progress tracking

When the quadratic function $\bm{f}$ is graphed in the $xy$-plane, where $\bm{y}=\bm{f}(\bm{x})$, its vertex is $(-3,6)$. One of the $x$-intercepts of this graph is $\left(-\frac{17}{4},0\right)$. What is the other $x$-intercept of the graph?

Difficulty: Hard

(-\frac{29}{4},0)

(-\frac{7}{4},0)

(\frac{5}{4},0)

(\frac{17}{4},0)

The function $f$ is defined by $f(x)=(x+3)(x+1)$ . The graph of $f$ in the $xy$-plane is a parabola. Which of the following intervals contains the $x$-coordinate of the vertex of the graph of $f$ ?

Difficulty: Hard

$-4<x<-3$

$-3<x<1$

$1<x<3$

$3<x<4$

$x+y=12$$y=x^{2}$If $(x,y)$ is a solution to the system of equations above, which of the following is a possible value of $x$?

Difficulty: Easy

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