Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. $$8x-3x^2+10x^3-4$$

$$10x^3-3x^2+8x-4$$ cubic polynomial

$$10x^3+8x-3x^2-4$$ cubic polynomial

$$-3x^3+10x^2+8x-4$$ quadratic polynomial

$$-4+8x-3x^2+10x^3$$ cubic polynomial

What are the coordinates of the vertex of the graph? Is it a maximum or minimum?

$$\left(-1,\ -1\right)$$ ; maximum

$$\left(-1,\ -1\right)$$ ; minimum

$$\left(-1,\ 0\right)$$ ; maximum

$$\left(-1,\ 0\right)$$ ; minimum

What is the vertex and the axis of symmetry of the equation? $$y=2x^2+4x-18$$

vertex: $$\left(-1,-20\right)$$ axis of symmetry: $$x=-1$$

vertex: $$\left(1,-20\right)$$ axis of symmetry: $$x=-20$$

vertex: $$\left(-1,20\right)$$ axis of symmetry: $$y=-1$$

vertex: $$\left(-1,-20\right)$$ axis of symmetry: $$x=-20$$

Identify the vertex and the axis of symmetry of the graph of the function $$y=-2\left(x+3\right)^2+4$$

vertex: $$\left(-3,4\right)$$ axis of symmetry: $$x=-3$$

vertex: $$\left(3,4\right)$$ axis of symmetry: $$x=3$$

vertex: $$\left(-3,-4\right)$$ axis of symmetry: $$x=-3$$

vertex: $$\left(3,-4\right)$$ axis of symmetry: $$x=3$$

What steps transform the graph of $$y=x^2$$ to $$y=-2\left(x+2\right)^2+3$$

opens down, translate 2 units to the left, translate up 3 units, stretch by the factor 2

translate 2 units to the right, translate down 3 units, stretch by the factor 2

translate 2 units to the left, translate up 3 units, stretch by the factor 2

opens down, translate 2 units to the right, translate down 3 units, stretch by the factor 2

The length of the rectangle is $$4x-5$$ inches. The width of the rectangle is $$x+1$$ inches. Find a quadratic function equation to model the area of the rectangle. Then evaluate the function for $$x=2$$

$$f\left(x\right)=4x^2-x-5$$ $$f\left(2\right)=9$$ square inches

$$f\left(x\right)=4x^2+4x-5$$ $$f\left(2\right)=197$$ square inches

$$f\left(x\right)=4x^2-5x+1$$ $$f\left(2\right)=7$$ square inches

$$f\left(x\right)=4x^2+x-4$$ $$f\left(2\right)=14$$ square inches

Math 2 - Semester 1 Final Review (2025)

Authored by Julie Keane

Mathematics

10th Grade

CCSS covered

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