Quadratic Functions — Standard and Vertex Forms Questions | Prasnya
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Quadratic Functions — Standard and Vertex Forms - Quadratic Functions —...
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Q1
Consider the two quadratic functions
y
1
=
x
2
−
4
x
+
1
y_1 = x^2 - 4x + 1
and
y
2
=
x
2
−
6
x
−
3
y_2 = x^2 - 6x - 3
. A quadratic function
f
(
x
)
=
a
x
2
+
b
x
+
c
f(x) = ax^2 + bx + c
has its vertex at the intersection point of
y
1
y_1
and
y
2
y_2
, its
y
y
-intercept is 2, and its axis of symmetry is parallel to the
y
y
-axis. What is the equation of
f
(
x
)
f(x)
?
Single correct
OCTOBER 26, 2025
OCTOBER 26, 2025
Q2
Which of the following statements is/are true?
Multiple correct
OCTOBER 26, 2025
OCTOBER 26, 2025
Q3
The polynomial
p
(
x
)
=
a
(
x
−
4
)
(
x
−
6
)
(
x
−
8
)
(
x
−
10
)
p(x) = a(x-4)(x-6)(x-8)(x-10)
passes through the vertex of the quadratic function
q
(
x
)
=
−
(
x
−
7
)
2
−
9
q(x) = -(x-7)^2 - 9
. Based on this information, calculate the value of
a
a
.
Integer answer
OCTOBER 26, 2025
OCTOBER 26, 2025
