What is the vertex of the quadratic function $$y=3x^2-12x+9$$ ?

The vertex can be found using the formula $$x = -\frac{b}{2a}$$ . Here, $$a=3$$ and $$b=-12$$ , so the vertex is at $$(2, -3)$$ .

How do you find the x-intercepts of the function $$y=3x^2-12x+9$$ ?

Set $$y=0$$ and solve for $$x$$ . The x-intercepts are $$(1, 0)$$ and $$(3, 0)$$ .

What is the factored form of the expression $$m^2-25$$ ?

The factored form is $$(m-5)(m+5)$$ .

What is the sine ratio in a right triangle?

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

How do you solve a quadratic equation?

You can solve it by factoring, using the quadratic formula, or completing the square.

What is the quadratic formula?

The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What does it mean for an expression to be equivalent?

Two expressions are equivalent if they have the same value for all values of the variable.

What is the relationship between the coefficients of a quadratic function and its graph?

The coefficients determine the shape and position of the parabola. For example, the sign of $$a$$ indicates whether the parabola opens upwards or downwards.

What is the importance of the discriminant in a quadratic equation?

The discriminant $$b^2 - 4ac$$ determines the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, no real roots.

How can you verify the solution of an equation?

You can verify the solution by substituting it back into the original equation to see if both sides are equal.

What is the significance of the angle of elevation in real-world applications?

The angle of elevation is used in various fields such as architecture, engineering, and navigation to determine heights and distances.

Math 11 CAASPP Practice

Flashcard

•

Mathematics

•

10th - 11th Grade

•

Practice Problem

•

Easy

•

CCSS

HSA-REI.B.4B, HSG.SRT.C.8, HSF-IF.C.7C

Standards-aligned

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FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-IF.C.7C

FLASHCARD QUESTION

Front

What is the difference between a maximum and minimum in a quadratic function?

Back

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

What is the angle of elevation?

Back

The angle of elevation is the angle formed by a horizontal line and the line of sight to an object above the horizontal line.

Tags

CCSS.7.G.B.5

FLASHCARD QUESTION

Front

If Emma is 10 feet away from a tree and the angle of elevation is between 55 and 75 degrees, how can we estimate the height of the tree?

Back

Using trigonometric ratios, we can estimate the height based on the angles. Reasonable estimates for the height are 14.7 ft, 24.4 ft, and 33.9 ft.

Tags

CCSS.HSG.SRT.C.8

FLASHCARD QUESTION

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