How do you find the y-intercept of a quadratic function?

The y-intercept of a quadratic function is found by evaluating the function at $$x = 0$$ , which gives the point $$(0, c)$$ in the standard form $$y = ax^2 + bx + c$$ .

What is the axis of symmetry in a quadratic function?

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula $$x = -\frac{b}{2a}$$ .

What is the significance of the leading coefficient in a quadratic equation?

The leading coefficient $$a$$ determines the direction of the parabola: if $$a > 0$$ , it opens upwards; if $$a

How do you solve the equation $$x^2 + 4x = 0$$ ?

Factoring gives $$x(x + 4) = 0$$ , leading to solutions $$x = 0$$ and $$x = -4$$ .

What is the solution to the equation $$-5x^2 = -50$$ using the square root method?

Rearranging gives $$x^2 = 10$$ , so the solutions are $$x = \text{±}\text{√}10$$ .

What does it mean if a quadratic equation has no real solutions?

It means the graph of the quadratic does not intersect the x-axis, which occurs when the discriminant is negative.

How can you determine the number of solutions for a quadratic equation?

By calculating the discriminant $$b^2 - 4ac$$ : if positive, two solutions; if zero, one solution; if negative, no real solutions.

What is the purpose of using the quadratic formula?

The quadratic formula is used to find the roots or solutions of a quadratic equation when factoring is difficult or impossible.

solving quadratics (all methods)

Flashcard

•

Mathematics

•

8th - 11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA-REI.B.4B, HSF-IF.C.7A, HSN.CN.C.7

Standards-aligned

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FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

What does the discriminant tell us?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

How do you solve a quadratic equation by factoring?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

What is the square root method for solving quadratics?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

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