scalene triangle
isosceles triangle
equilateral triangle
75/100
and can the answer be squared
please help
The quadratic expressions in vertex form are (a) (x-1)²+10 and (c) (x-5)². These expressions follow the form a*(x-h)² + k, which is the standard form for a quadratic equation in vertex form.
The question asks to select all the quadratic expressions in vertex form. The vertex form of a quadratic equation is given by a*(x-h)² + k. Here, (h, k) is the vertex of the parabola. Let's examine the given options:
So, the quadratic expressions in vertex form are options (a) (x-1)²+10 and (c) (x-5)².
Complete question:
Select all of the quadratic expressions in vertex form
a) (x-1)²+10
b) (x-5)(x-4)
c) (x-5)²
d) x²-4x+4
e) x(x-4)
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The quadratic expressions in vertex form in the given options are (x-1)^2+10 and (x-5)^2. The vertex form of a quadratic expression is a*(x-h)^2 + k, where a, h, and k are constants.
The quadratic expressions in vertex form among the given options are a) (x-1)^2+10 and c) (x-5)^2. In general, a quadratic expression is in vertex form if it is written as a*(x-h)^2 + k, where a, h, and k are constants, and h and k represent the vertex of the parabola.
In other words, the vertex form provides an efficient way to identify the vertex of a parabola, as represented by a quadratic equation, and provides the easiest way to graph such an equation. The other expressions b) (x-5)(x-4), d) x^2-4x+4, and e) x(x-4) are not in vertex form.
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